Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680bp |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
17489385472000 = 214 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -4 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28561,1856465] |
[a1,a2,a3,a4,a6] |
Generators |
[65:520:1] [-169:1352:1] |
Generators of the group modulo torsion |
j |
157267580823376/1067467375 |
j-invariant |
L |
7.5466889151506 |
L(r)(E,1)/r! |
Ω |
0.69555211383736 |
Real period |
R |
0.54249629645411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680h1 23920q1 |
Quadratic twists by: -4 8 |