Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218bb |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
94460449104 = 24 · 313 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2702,-53125] |
[a1,a2,a3,a4,a6] |
j |
4124146838737/178564176 |
j-invariant |
L |
2.6558152418859 |
L(r)(E,1)/r! |
Ω |
0.66395381047148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654x1 22218u1 |
Quadratic twists by: -3 -23 |