Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800g |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20697600 |
Modular degree for the optimal curve |
Δ |
-2.3853140835036E+23 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 0 5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3745625,-23331756250] |
[a1,a2,a3,a4,a6] |
Generators |
[3376943547918945152432162145464355070606599069451251139498341025784937168952955477793743551053:2844340307526819706874307157352981058967102447105196113648250744360777983016951328159132010849432:4760049774391850116015171720336778699907969281025746897951671382186333254121710352381373] |
Generators of the group modulo torsion |
j |
2324644721895600/95412563340143 |
j-invariant |
L |
14.004391579819 |
L(r)(E,1)/r! |
Ω |
0.047513881464592 |
Real period |
R |
147.37158013764 |
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 |
57400h1 114800y1 |
Quadratic twists by: -4 5 |