Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492i |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
63893343654785232 = 24 · 322 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101136,-2313731] |
[a1,a2,a3,a4,a6] |
j |
4085087469568/2281476213 |
j-invariant |
L |
0.57490193977964 |
L(r)(E,1)/r! |
Ω |
0.287450990574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164i1 93492x1 |
Quadratic twists by: -3 -7 |