Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
97236n |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
28336154568912 = 24 · 38 · 373 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152616,22946749] |
[a1,a2,a3,a4,a6] |
Generators |
[275:1332:1] |
Generators of the group modulo torsion |
j |
33703608487641088/2429368533 |
j-invariant |
L |
5.2594838629101 |
L(r)(E,1)/r! |
Ω |
0.63221790897976 |
Real period |
R |
1.3865166244747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412d1 |
Quadratic twists by: -3 |