Atkin-Lehner |
2- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9292b |
Isogeny class |
Conductor |
9292 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-1050514159088 = -1 · 24 · 235 · 1012 |
Discriminant |
Eigenvalues |
2- -1 0 2 -2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2342,-23791] |
[a1,a2,a3,a4,a6] |
Generators |
[56:529:1] |
Generators of the group modulo torsion |
j |
88752164000000/65657134943 |
j-invariant |
L |
3.5489609937668 |
L(r)(E,1)/r! |
Ω |
0.49006044745592 |
Real period |
R |
0.24139613879544 |
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 |
37168d1 83628c1 |
Quadratic twists by: -4 -3 |