Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64416a |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-83483136 = -1 · 29 · 35 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,456] |
[a1,a2,a3,a4,a6] |
j |
-7301384/163053 |
j-invariant |
L |
1.6122649727389 |
L(r)(E,1)/r! |
Ω |
1.6122649721529 |
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 |
64416e1 128832r1 |
Quadratic twists by: -4 8 |