Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264p |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2768580269056 = 210 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 2 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6811,200998] |
[a1,a2,a3,a4,a6] |
Generators |
[7:392:1] |
Generators of the group modulo torsion |
j |
290046852/22981 |
j-invariant |
L |
4.2813728872031 |
L(r)(E,1)/r! |
Ω |
0.7885713988578 |
Real period |
R |
1.3573193541525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528o1 3752c1 |
Quadratic twists by: -4 -7 |