Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096bi |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-958936355904503808 = -1 · 214 · 32 · 13 · 298 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195824,57660372] |
[a1,a2,a3,a4,a6] |
Generators |
[399555:22395834:125] |
Generators of the group modulo torsion |
j |
-202751340503592817/234115321265748 |
j-invariant |
L |
5.7283942194563 |
L(r)(E,1)/r! |
Ω |
0.25256009381376 |
Real period |
R |
11.340655867194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262k6 72384bp5 54288bp5 |
Quadratic twists by: -4 8 -3 |