Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550q |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3262002351562500 = 22 · 3 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56375,4334625] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:1355:1] [-155:3140:1] |
Generators of the group modulo torsion |
j |
10779215329/1774500 |
j-invariant |
L |
7.1321171769294 |
L(r)(E,1)/r! |
Ω |
0.42751987567649 |
Real period |
R |
1.0426587135022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110de1 13650bg1 |
Quadratic twists by: 5 -7 |