Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288ca |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-11034267918336 = -1 · 213 · 36 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54219,4861946] |
[a1,a2,a3,a4,a6] |
Generators |
[95:754:1] |
Generators of the group modulo torsion |
j |
-5903244155017/3695354 |
j-invariant |
L |
4.4950569098117 |
L(r)(E,1)/r! |
Ω |
0.71125865344341 |
Real period |
R |
0.52665521045028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786t1 6032e1 |
Quadratic twists by: -4 -3 |