Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
11715g |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-12682248975 = -1 · 310 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-226,5555] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:76:1] [-7:86:1] |
Generators of the group modulo torsion |
j |
-1276935990049/12682248975 |
j-invariant |
L |
4.3446219055527 |
L(r)(E,1)/r! |
Ω |
1.0779550055144 |
Real period |
R |
0.4030429733456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35145j1 58575g1 128865n1 |
Quadratic twists by: -3 5 -11 |