Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34596g |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4842332928 = -1 · 28 · 39 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6696,-210924] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8461:1] |
Generators of the group modulo torsion |
j |
-6856704 |
j-invariant |
L |
3.2452325154966 |
L(r)(E,1)/r! |
Ω |
0.26388329469832 |
Real period |
R |
6.1489919610222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34596f1 34596c1 |
Quadratic twists by: -3 -31 |