Atkin-Lehner |
2- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
57850r |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-543826156250 = -1 · 2 · 56 · 133 · 892 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 0 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,162,-35458] |
[a1,a2,a3,a4,a6] |
Generators |
[62814116:267358555:1560896] |
Generators of the group modulo torsion |
j |
30080231/34804874 |
j-invariant |
L |
9.8274894123397 |
L(r)(E,1)/r! |
Ω |
0.43019332187876 |
Real period |
R |
11.422178021569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314b1 |
Quadratic twists by: 5 |