Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686j |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
2343816554688 = 26 · 36 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -1 -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3591,-36995] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:217:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
3.538629612404 |
L(r)(E,1)/r! |
Ω |
0.64411767940131 |
Real period |
R |
0.39241161376566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61488v1 854d1 53802bd1 |
Quadratic twists by: -4 -3 -7 |