Atkin-Lehner |
7- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
75509b |
Isogeny class |
Conductor |
75509 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-435294358709 = -1 · 710 · 23 · 67 |
Discriminant |
Eigenvalues |
1 1 3 7- 6 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1003,-29207] |
[a1,a2,a3,a4,a6] |
Generators |
[520789335:1345485049:23149125] |
Generators of the group modulo torsion |
j |
949862087/3699941 |
j-invariant |
L |
12.661239812589 |
L(r)(E,1)/r! |
Ω |
0.47751422992899 |
Real period |
R |
13.257447653312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10787b1 |
Quadratic twists by: -7 |