Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424i |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-23934501126144 = -1 · 220 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1183,234465] |
[a1,a2,a3,a4,a6] |
j |
697864103/91302876 |
j-invariant |
L |
2.0733297167228 |
L(r)(E,1)/r! |
Ω |
0.51833245404922 |
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 |
95424cm1 2982d1 |
Quadratic twists by: -4 8 |