Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7475a |
Isogeny class |
Conductor |
7475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-118621826171875 = -1 · 515 · 132 · 23 |
Discriminant |
Eigenvalues |
0 2 5+ 1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14633,864418] |
[a1,a2,a3,a4,a6] |
j |
-22178567028736/7591796875 |
j-invariant |
L |
2.2253459271236 |
L(r)(E,1)/r! |
Ω |
0.55633648178089 |
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 |
119600q1 67275e1 1495c1 97175f1 |
Quadratic twists by: -4 -3 5 13 |