Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490bm |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
7987200 |
Modular degree for the optimal curve |
Δ |
-6.2996816870909E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9582774,3935694423] |
[a1,a2,a3,a4,a6] |
j |
54934014267405745991/35560060800000000 |
j-invariant |
L |
3.5899481861119 |
L(r)(E,1)/r! |
Ω |
0.069037465208352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590a1 |
Quadratic twists by: -11 |