Atkin-Lehner |
2+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5456a |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-12864962602096 = -1 · 24 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -3 5 11+ 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5528,-70821] |
[a1,a2,a3,a4,a6] |
j |
1167425747785472/804060162631 |
j-invariant |
L |
3.2130702256089 |
L(r)(E,1)/r! |
Ω |
0.40163377820111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2728e1 21824x1 49104x1 60016f1 |
Quadratic twists by: -4 8 -3 -11 |