Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bn |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
31232000000000 = 218 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12833,486463] |
[a1,a2,a3,a4,a6] |
Generators |
[34:301:1] |
Generators of the group modulo torsion |
j |
456533/61 |
j-invariant |
L |
5.7164795750993 |
L(r)(E,1)/r! |
Ω |
0.63460033737353 |
Real period |
R |
4.5039998023571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600ct1 1525b1 97600bk1 |
Quadratic twists by: -4 8 5 |