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 |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-8650017672688 = -1 · 24 · 73 · 292 · 374 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4184,-96805] |
[a1,a2,a3,a4,a6] |
j |
8102071053045423/8650017672688 |
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 |
120176ba1 105154q1 |
Quadratic twists by: -4 -7 |