Atkin-Lehner |
2- 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bc |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-48114257817600 = -1 · 212 · 33 · 52 · 133 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28343,-1859569] |
[a1,a2,a3,a4,a6] |
j |
-93257341993429587/1782009548800 |
j-invariant |
L |
4.410405288734 |
L(r)(E,1)/r! |
Ω |
0.18376690204455 |
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 |
104130g1 |
Quadratic twists by: -3 |