Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424br |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-3957424128 = -1 · 215 · 35 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,-11007] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1808:1] |
Generators of the group modulo torsion |
j |
-2708870984/120771 |
j-invariant |
L |
3.8232858250855 |
L(r)(E,1)/r! |
Ω |
0.43121752163971 |
Real period |
R |
4.4331290393835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424cn1 47712i1 |
Quadratic twists by: -4 8 |