Atkin-Lehner |
2- 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580b |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
6279916270643240400 = 24 · 39 · 52 · 75 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-461268,1697733] |
[a1,a2,a3,a4,a6] |
j |
34464534557442048/19940800026175 |
j-invariant |
L |
0.4032049173605 |
L(r)(E,1)/r! |
Ω |
0.20160242261804 |
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 |
104580f1 |
Quadratic twists by: -3 |