Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bu |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3251736576 = -1 · 212 · 38 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- -1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,-21472] |
[a1,a2,a3,a4,a6] |
j |
-937024/9 |
j-invariant |
L |
1.5459275024716 |
L(r)(E,1)/r! |
Ω |
0.38648187562437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848o1 69696bw1 11616b1 34848n1 |
Quadratic twists by: -4 8 -3 -11 |