Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718g |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-80845691290936 = -1 · 23 · 115 · 137 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11157,-631483] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/16749304 |
j-invariant |
L |
2.2666026997598 |
L(r)(E,1)/r! |
Ω |
0.22666026997598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744s1 118976n1 33462cg1 92950cj1 |
Quadratic twists by: -4 8 -3 5 |