Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288f |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-1.3242464565509E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 3 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403675,5142085738] |
[a1,a2,a3,a4,a6] |
Generators |
[-2689:15138:1] |
Generators of the group modulo torsion |
j |
-11687830210426531250/886974917850099 |
j-invariant |
L |
7.411108654232 |
L(r)(E,1)/r! |
Ω |
0.14969734821732 |
Real period |
R |
2.4753640402929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27144l1 18096j1 |
Quadratic twists by: -4 -3 |