Atkin-Lehner |
2+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144b |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-507656706081536 = -1 · 28 · 119 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7920337,8576892619] |
[a1,a2,a3,a4,a6] |
j |
-91029177187328/841 |
j-invariant |
L |
1.4556520113809 |
L(r)(E,1)/r! |
Ω |
0.36391300251427 |
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 |
28072a1 56144a1 |
Quadratic twists by: -4 -11 |