Atkin-Lehner |
2+ 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106o |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-199944576 = -1 · 27 · 32 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -3 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,87,-596] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
33698267/91008 |
j-invariant |
L |
4.4123318246989 |
L(r)(E,1)/r! |
Ω |
0.9187742330411 |
Real period |
R |
1.2006028420212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106bk1 |
Quadratic twists by: 13 |