Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424by |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1102624422100992 = 224 · 311 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273531,-55039574] |
[a1,a2,a3,a4,a6] |
Generators |
[102595467:-4043100160:59319] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
4.7924040994799 |
L(r)(E,1)/r! |
Ω |
0.20876640609324 |
Real period |
R |
11.477910141692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6678o1 17808y1 |
Quadratic twists by: -4 -3 |