Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712k |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2235883824 = -1 · 24 · 38 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-2275] |
[a1,a2,a3,a4,a6] |
j |
2048/191691 |
j-invariant |
L |
2.6882480775234 |
L(r)(E,1)/r! |
Ω |
0.67206201261901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904a1 |
Quadratic twists by: -3 |