Atkin-Lehner |
2- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14036b |
Isogeny class |
Conductor |
14036 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-507656706081536 = -1 · 28 · 119 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14197,1269281] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1331:1] |
Generators of the group modulo torsion |
j |
-524288/841 |
j-invariant |
L |
3.0316186462258 |
L(r)(E,1)/r! |
Ω |
0.4685355844183 |
Real period |
R |
1.6176032018943 |
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 |
56144k1 126324e1 14036a1 |
Quadratic twists by: -4 -3 -11 |