Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736by |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2535173747886E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2718622232,-54558722956560] |
[a1,a2,a3,a4,a6] |
Generators |
[-63754503353391397813031764502850745640094238244870822106519061002546:9401673008453993198624353797614131835490468502499944464889310630:2117886219297436482881671651914155664332881669384013377895054307] |
Generators of the group modulo torsion |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
8.4560975537614 |
L(r)(E,1)/r! |
Ω |
0.020907992644584 |
Real period |
R |
101.110825146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342k3 8976w3 |
Quadratic twists by: -4 -11 |