Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334c |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
135862336 = 26 · 312 · 472 |
Discriminant |
Eigenvalues |
2+ 1 -1 -3 5 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] [27:114:1] |
Generators of the group modulo torsion |
j |
244298569/141376 |
j-invariant |
L |
8.6729555177722 |
L(r)(E,1)/r! |
Ω |
1.5571219699846 |
Real period |
R |
1.3924656649694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334a1 |
Quadratic twists by: -31 |