Atkin-Lehner |
2- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880k |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
2189246836244480 = 230 · 5 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38016,1765376] |
[a1,a2,a3,a4,a6] |
j |
1483455233259649/534484090880 |
j-invariant |
L |
2.5428713116132 |
L(r)(E,1)/r! |
Ω |
0.42381202041194 |
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 |
14110i1 |
Quadratic twists by: -4 |