Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
39816g |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1194431486911488 = 210 · 316 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75459,7803182] |
[a1,a2,a3,a4,a6] |
Generators |
[-2062:25461:8] |
Generators of the group modulo torsion |
j |
63654537026308/1600050753 |
j-invariant |
L |
6.182718812923 |
L(r)(E,1)/r! |
Ω |
0.48542511941743 |
Real period |
R |
6.368354835386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632j1 13272a1 |
Quadratic twists by: -4 -3 |