Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144r |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
4630386384 = 24 · 310 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7086,229565] |
[a1,a2,a3,a4,a6] |
Generators |
[58:117:1] |
Generators of the group modulo torsion |
j |
3373491693568/396981 |
j-invariant |
L |
4.9673017808046 |
L(r)(E,1)/r! |
Ω |
1.3213740012681 |
Real period |
R |
1.879597213218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54288q1 9048c1 |
Quadratic twists by: -4 -3 |