Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774ck |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
4828672926 = 2 · 312 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,-1281] |
[a1,a2,a3,a4,a6] |
Generators |
[-6968:26817:512] |
Generators of the group modulo torsion |
j |
13430356633/6623694 |
j-invariant |
L |
13.648711564383 |
L(r)(E,1)/r! |
Ω |
1.092806520212 |
Real period |
R |
6.2447978257893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258e1 |
Quadratic twists by: -3 |