Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334v |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
2711812284281257984 = 221 · 317 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-626592,-173952575] |
[a1,a2,a3,a4,a6] |
Generators |
[-499:4093:1] |
Generators of the group modulo torsion |
j |
30655480635073/3055550464 |
j-invariant |
L |
3.6768787646096 |
L(r)(E,1)/r! |
Ω |
0.1707780377131 |
Real period |
R |
0.25631144868995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914f1 |
Quadratic twists by: -31 |