Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742j |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
8495471274048 = 26 · 315 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41292,-3216240] |
[a1,a2,a3,a4,a6] |
j |
10680703423890625/11653595712 |
j-invariant |
L |
0.66987077139799 |
L(r)(E,1)/r! |
Ω |
0.33493538569899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936bk1 1914m1 63162bw1 |
Quadratic twists by: -4 -3 -11 |