Atkin-Lehner |
2- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144k |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
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 |
[1371:50578:1] |
Generators of the group modulo torsion |
j |
-524288/841 |
j-invariant |
L |
4.9532911631388 |
L(r)(E,1)/r! |
Ω |
0.20712379425445 |
Real period |
R |
2.9893301134576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036b1 56144i1 |
Quadratic twists by: -4 -11 |