Atkin-Lehner |
2+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200h |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-201015040657750000 = -1 · 24 · 56 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,138192,8576237] |
[a1,a2,a3,a4,a6] |
j |
1167425747785472/804060162631 |
j-invariant |
L |
4.0078865102123 |
L(r)(E,1)/r! |
Ω |
0.20039432595711 |
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 |
2728e1 |
Quadratic twists by: 5 |