Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640de |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
2.0219255773731E+20 |
Discriminant |
Eigenvalues |
2- 2 5- -4 6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61210305,-184303619743] |
[a1,a2,a3,a4,a6] |
Generators |
[187442144738867499975821500115514:5527433106524925031694072150027863:19873074904595303194039619592] |
Generators of the group modulo torsion |
j |
96751437829777336381489/771303397130240 |
j-invariant |
L |
10.893714016688 |
L(r)(E,1)/r! |
Ω |
0.053975121166992 |
Real period |
R |
50.457107685313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640br1 30160r1 |
Quadratic twists by: -4 8 |