Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
106808k |
Isogeny class |
Conductor |
106808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
16875664 = 24 · 132 · 792 |
Discriminant |
Eigenvalues |
2- -1 -2 3 -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-784,-8191] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1:1] |
Generators of the group modulo torsion |
j |
19734178048/6241 |
j-invariant |
L |
4.2635332603127 |
L(r)(E,1)/r! |
Ω |
0.90215805069292 |
Real period |
R |
1.1814817952499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106808e1 |
Quadratic twists by: 13 |