Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bj |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
45126154780209657 = 39 · 76 · 117 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-347958,78425199] |
[a1,a2,a3,a4,a6] |
j |
30664297/297 |
j-invariant |
L |
0.72233446571592 |
L(r)(E,1)/r! |
Ω |
0.36116723391756 |
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 |
17787u1 1089g1 4851j1 |
Quadratic twists by: -3 -7 -11 |