Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728ba |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-54685696 = -1 · 212 · 132 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 2 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71,-249] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
9528128/13351 |
j-invariant |
L |
3.7428653167687 |
L(r)(E,1)/r! |
Ω |
1.057412404022 |
Real period |
R |
1.7698228725073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65728be1 32864d1 |
Quadratic twists by: -4 8 |