Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13456d |
Isogeny class |
Conductor |
13456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48720 |
Modular degree for the optimal curve |
Δ |
-1024504653744128 = -1 · 211 · 298 |
Discriminant |
Eigenvalues |
2+ 1 0 4 -3 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40648,3496660] |
[a1,a2,a3,a4,a6] |
j |
-7250 |
j-invariant |
L |
2.8624283513463 |
L(r)(E,1)/r! |
Ω |
0.47707139189104 |
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 |
6728b1 53824bk1 121104w1 13456b1 |
Quadratic twists by: -4 8 -3 29 |