Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200f |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
354025000000 = 26 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9925,-379500] |
[a1,a2,a3,a4,a6] |
j |
108122295744/354025 |
j-invariant |
L |
0.95682479773453 |
L(r)(E,1)/r! |
Ω |
0.47841239586374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95200v1 19040o1 |
Quadratic twists by: -4 5 |