Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075ba |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
47498016357421875 = 36 · 516 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95292,4295241] |
[a1,a2,a3,a4,a6] |
Generators |
[-744:71293:27] |
Generators of the group modulo torsion |
j |
8401330071289/4169921875 |
j-invariant |
L |
5.089617673314 |
L(r)(E,1)/r! |
Ω |
0.31734212926499 |
Real period |
R |
8.0191332774622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10675c1 19215z1 |
Quadratic twists by: -3 5 |