Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518t |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
18139981899064896 = 26 · 320 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2047042,-1127448700] |
[a1,a2,a3,a4,a6] |
j |
431791340635393697629/8256705461568 |
j-invariant |
L |
7.5730288952533 |
L(r)(E,1)/r! |
Ω |
0.12621714825424 |
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 |
112554m1 37518j1 |
Quadratic twists by: -3 13 |