Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17864l |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38720 |
Modular degree for the optimal curve |
Δ |
10092275696272 = 24 · 711 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 11- -1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19024,992005] |
[a1,a2,a3,a4,a6] |
j |
47591793317892352/630767231017 |
j-invariant |
L |
1.4531597550892 |
L(r)(E,1)/r! |
Ω |
0.7265798775446 |
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 |
35728m1 125048bc1 |
Quadratic twists by: -4 -7 |