Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
76368m |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-107604344832 = -1 · 219 · 3 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 3 -1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-592,16532] |
[a1,a2,a3,a4,a6] |
Generators |
[34:192:1] |
Generators of the group modulo torsion |
j |
-5611284433/26270592 |
j-invariant |
L |
9.6887046996038 |
L(r)(E,1)/r! |
Ω |
0.91867778034339 |
Real period |
R |
1.3182947421207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546h1 |
Quadratic twists by: -4 |