Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450r |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-11117250000 = -1 · 24 · 36 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,-284] |
[a1,a2,a3,a4,a6] |
j |
1685159/976 |
j-invariant |
L |
3.0404308764631 |
L(r)(E,1)/r! |
Ω |
0.76010771911581 |
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 |
3050f1 1098j1 |
Quadratic twists by: -3 5 |