Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bz |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
651202941419520 = 234 · 3 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56001,4932255] |
[a1,a2,a3,a4,a6] |
j |
74093292126001/2484142080 |
j-invariant |
L |
1.0173885060752 |
L(r)(E,1)/r! |
Ω |
0.50869454085916 |
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 |
127680ee1 3990u1 |
Quadratic twists by: -4 8 |