Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022i |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
455662901372644 = 22 · 76 · 294 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23196,-885349] |
[a1,a2,a3,a4,a6] |
j |
1380210921416909457/455662901372644 |
j-invariant |
L |
0.7941628183972 |
L(r)(E,1)/r! |
Ω |
0.3970814091986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120176ba2 105154q2 |
Quadratic twists by: -4 -7 |