Atkin-Lehner |
37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
72557d |
Isogeny class |
Conductor |
72557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155952 |
Modular degree for the optimal curve |
Δ |
5031389488049 = 377 · 53 |
Discriminant |
Eigenvalues |
-1 0 -2 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56386,5166456] |
[a1,a2,a3,a4,a6] |
j |
7727161833/1961 |
j-invariant |
L |
0.74885008698012 |
L(r)(E,1)/r! |
Ω |
0.74885008972142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1961a1 |
Quadratic twists by: 37 |