Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448v |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
7068598272 = 214 · 33 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
2992209121/1725732 |
j-invariant |
L |
4.7916707026783 |
L(r)(E,1)/r! |
Ω |
1.111826969541 |
Real period |
R |
0.71828783224196 |
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 |
3306g1 105792bg1 79344bx1 |
Quadratic twists by: -4 8 -3 |