Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330br |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30965760 |
Modular degree for the optimal curve |
Δ |
-4.1254302631489E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55838970,3086053716276] |
[a1,a2,a3,a4,a6] |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
0.27131955170125 |
L(r)(E,1)/r! |
Ω |
0.033914943923614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dg1 8190q1 |
Quadratic twists by: -3 -7 |