Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105056j |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
20357543754635584 = 26 · 715 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 2 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68322,-375124] |
[a1,a2,a3,a4,a6] |
Generators |
[3817:235298:1] |
Generators of the group modulo torsion |
j |
4684287775168/2703691669 |
j-invariant |
L |
5.0375031046468 |
L(r)(E,1)/r! |
Ω |
0.32222713411891 |
Real period |
R |
1.9541739931154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105056n1 15008m1 |
Quadratic twists by: -4 -7 |