Atkin-Lehner |
2+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12730a |
Isogeny class |
Conductor |
12730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
-31825000 = -1 · 23 · 55 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 6 3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25,261] |
[a1,a2,a3,a4,a6] |
j |
1689410871/31825000 |
j-invariant |
L |
1.55300293117 |
L(r)(E,1)/r! |
Ω |
1.55300293117 |
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 |
101840l1 114570bw1 63650e1 |
Quadratic twists by: -4 -3 5 |