Atkin-Lehner |
3- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12441h |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-66608078815480059 = -1 · 315 · 114 · 13 · 293 |
Discriminant |
Eigenvalues |
0 3- 3 2 11+ 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14099,12429149] |
[a1,a2,a3,a4,a6] |
j |
-309969845320056832/66608078815480059 |
j-invariant |
L |
2.8387228032793 |
L(r)(E,1)/r! |
Ω |
0.28387228032793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37323i1 |
Quadratic twists by: -3 |