Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
37700g |
Isogeny class |
Conductor |
37700 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
901259887060000000 = 28 · 57 · 133 · 295 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 4 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2381200,-1413563500] |
[a1,a2,a3,a4,a6] |
j |
373294286161772544/225314971765 |
j-invariant |
L |
7.2923511076645 |
L(r)(E,1)/r! |
Ω |
0.12153918512796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540c1 |
Quadratic twists by: 5 |