Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096bh |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-64010461372416 = -1 · 213 · 313 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13280,-708108] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2808:1] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
7.1027921911161 |
L(r)(E,1)/r! |
Ω |
0.21950742303758 |
Real period |
R |
0.31113334490306 |
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 |
2262j1 72384bo1 54288bn1 |
Quadratic twists by: -4 8 -3 |