Atkin-Lehner |
2- 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bn |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
193600 |
Modular degree for the optimal curve |
Δ |
111556551780 = 22 · 311 · 5 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-424390,106377920] |
[a1,a2,a3,a4,a6] |
j |
8453162193282558315361/111556551780 |
j-invariant |
L |
8.2034525212846 |
L(r)(E,1)/r! |
Ω |
0.74576841102587 |
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 |
76590n1 127650d1 |
Quadratic twists by: -3 5 |