Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960bq |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
109927507968000 = 214 · 312 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12945,-263025] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:81:1] [195:-2160:1] |
Generators of the group modulo torsion |
j |
14643452605264/6709442625 |
j-invariant |
L |
13.030533967711 |
L(r)(E,1)/r! |
Ω |
0.46751053079406 |
Real period |
R |
0.77422700247528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cw1 12120k1 |
Quadratic twists by: -4 8 |