Atkin-Lehner |
2+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12730d |
Isogeny class |
Conductor |
12730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-9852816320 = -1 · 26 · 5 · 193 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,536,0] |
[a1,a2,a3,a4,a6] |
j |
17012268769959/9852816320 |
j-invariant |
L |
2.3206297389206 |
L(r)(E,1)/r! |
Ω |
0.77354324630686 |
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 |
101840n1 114570bq1 63650f1 |
Quadratic twists by: -4 -3 5 |