Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272q |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-850136215552 = -1 · 212 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 2 4 0 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,-45267] |
[a1,a2,a3,a4,a6] |
Generators |
[1694375846486466771596604:23859297904275188235469965:8274635699440974775757] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
14.774939171687 |
L(r)(E,1)/r! |
Ω |
0.37807877742496 |
Real period |
R |
39.07899637297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7267a1 688c1 |
Quadratic twists by: -4 13 |