Atkin-Lehner |
2+ 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950c |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
53512704000000000 = 218 · 33 · 59 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109000,8200000] |
[a1,a2,a3,a4,a6] |
j |
9166201613735041/3424813056000 |
j-invariant |
L |
0.6475646681536 |
L(r)(E,1)/r! |
Ω |
0.32378230110166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bc1 |
Quadratic twists by: 5 |