Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056i |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
867069015201489152 = 28 · 134 · 179 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408164,-89679772] |
[a1,a2,a3,a4,a6] |
j |
1217013440848/140320193 |
j-invariant |
L |
1.5224119630631 |
L(r)(E,1)/r! |
Ω |
0.19030149538315 |
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 |
60112h1 1768d1 |
Quadratic twists by: -4 17 |