Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096t |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-4336091136 = -1 · 215 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 -2 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,408,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[2:26:1] |
Generators of the group modulo torsion |
j |
1829276567/1058616 |
j-invariant |
L |
3.5242484204218 |
L(r)(E,1)/r! |
Ω |
0.82496343500635 |
Real period |
R |
1.0680014019029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262f1 72384dr1 54288bg1 |
Quadratic twists by: -4 8 -3 |