Atkin-Lehner |
2+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63206b |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-66276294656 = -1 · 221 · 11 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 11+ 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-667,13990] |
[a1,a2,a3,a4,a6] |
j |
-193766276353/392167424 |
j-invariant |
L |
0.9800347685237 |
L(r)(E,1)/r! |
Ω |
0.98003477020881 |
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 |
63206n1 |
Quadratic twists by: 13 |