Atkin-Lehner |
3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7455a |
Isogeny class |
Conductor |
7455 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
53280 |
Modular degree for the optimal curve |
Δ |
-108739189125 = -1 · 36 · 53 · 75 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -5 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-783328,266521657] |
[a1,a2,a3,a4,a6] |
Generators |
[544:1051:1] |
Generators of the group modulo torsion |
j |
-53156396270339108473609/108739189125 |
j-invariant |
L |
3.7107534540067 |
L(r)(E,1)/r! |
Ω |
0.6874372225812 |
Real period |
R |
0.53979524705884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280ca1 22365l1 37275i1 52185n1 |
Quadratic twists by: -4 -3 5 -7 |