Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2136a |
Isogeny class |
Conductor |
2136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
1845504 = 28 · 34 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2404,44576] |
[a1,a2,a3,a4,a6] |
j |
6004374601552/7209 |
j-invariant |
L |
2.2288478934612 |
L(r)(E,1)/r! |
Ω |
2.2288478934612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4272a1 17088b1 6408a1 53400e1 |
Quadratic twists by: -4 8 -3 5 |