Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200cf |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-85144371200000000 = -1 · 230 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -4 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-305875,-66608750] |
[a1,a2,a3,a4,a6] |
j |
-1978042764105/53215232 |
j-invariant |
L |
1.2161171719752 |
L(r)(E,1)/r! |
Ω |
0.10134309799085 |
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 |
10150g1 81200by1 |
Quadratic twists by: -4 5 |