Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249k |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
212715360 |
Modular degree for the optimal curve |
Δ |
-5.2862157835678E+30 |
Discriminant |
Eigenvalues |
1 3- 2 3 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7896762745,291872033263721] |
[a1,a2,a3,a4,a6] |
Generators |
[2029779435656294368464859815125001503439365351262850240310718522016624412476689177284538661941328568637451277348184114908381852982543172939960128701304992732023157773859859235693357189717313260634994262562635398613331736927607886070541764640171575404302583169639658990988417874933888279536291442764004687550072749468903354953602653110683906204136677897549437325225147770222669202300845902115:1498030434231211427317348370198812770209820535472814231473934006066730195570039629970250272977163857495255446225783838775176792574075808216298011627007437043450181400206364403973444276769946678216889285531458500942403286281781019379746710331739880159016028646973306092463207225237834174073501583990338386583003200437975028429617880828038309996384291455074408723701014528128692140942086331948889:3633550077187278147780257960406458851112751999733869005687699293250729438287929717763546641527347264844069646094129120084172045810112504899402345154080375551970197315203066255943262590311463586854366422431418017533148308227907875161306409281345986663018425928709430416849938269590544344838107268966602318287012791708410929405703513207127750511028468891485818839665006602159621122869237] |
Generators of the group modulo torsion |
j |
-2099636580125146614568753/203806502183105465649 |
j-invariant |
L |
14.242002342762 |
L(r)(E,1)/r! |
Ω |
0.02359596366951 |
Real period |
R |
603.57790604519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249bc1 |
Quadratic twists by: -11 |