Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424v |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-50029658112 = -1 · 225 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4737,124383] |
[a1,a2,a3,a4,a6] |
Generators |
[2:339:1] |
Generators of the group modulo torsion |
j |
-44852393377/190848 |
j-invariant |
L |
9.2322473781532 |
L(r)(E,1)/r! |
Ω |
1.132700890093 |
Real period |
R |
4.0753244952869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bv1 2982f1 |
Quadratic twists by: -4 8 |