Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bo |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
2152640 = 26 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175,-903] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] |
Generators of the group modulo torsion |
j |
616977841/2240 |
j-invariant |
L |
6.4222230838569 |
L(r)(E,1)/r! |
Ω |
1.3128706544598 |
Real period |
R |
0.81529015076881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270bm1 |
Quadratic twists by: -31 |