Atkin-Lehner |
2+ 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34760b |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
1738000 = 24 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-496,4421] |
[a1,a2,a3,a4,a6] |
Generators |
[14:5:1] [10:19:1] |
Generators of the group modulo torsion |
j |
845131051264/108625 |
j-invariant |
L |
6.5325067204879 |
L(r)(E,1)/r! |
Ω |
2.5543160653322 |
Real period |
R |
1.2787193427524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69520c1 |
Quadratic twists by: -4 |