Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686s |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
34425409536 = 212 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2354,-42447] |
[a1,a2,a3,a4,a6] |
j |
1978074236377/47222784 |
j-invariant |
L |
4.1185591018958 |
L(r)(E,1)/r! |
Ω |
0.68642651698263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61488w1 2562c1 53802cl1 |
Quadratic twists by: -4 -3 -7 |