Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88412h |
Isogeny class |
Conductor |
88412 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
526080 |
Modular degree for the optimal curve |
Δ |
-49086744144128 = -1 · 28 · 235 · 313 |
Discriminant |
Eigenvalues |
2- -3 -4 -1 -4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8153,182590] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-1058:1] [31:682:1] |
Generators of the group modulo torsion |
j |
7858705104/6436343 |
j-invariant |
L |
4.4286411666053 |
L(r)(E,1)/r! |
Ω |
0.41008279980664 |
Real period |
R |
0.35997942924902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88412d1 |
Quadratic twists by: -31 |