Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6728b |
Isogeny class |
Conductor |
6728 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24360 |
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 |
0.50051151209615 |
L(r)(E,1)/r! |
Ω |
0.16683717069872 |
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 |
13456d1 53824l1 60552y1 6728c1 |
Quadratic twists by: -4 8 -3 29 |