Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696bx |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-71299072 = -1 · 212 · 132 · 103 |
Discriminant |
Eigenvalues |
2- -2 2 4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103,103] |
[a1,a2,a3,a4,a6] |
Generators |
[17:84:1] |
Generators of the group modulo torsion |
j |
29218112/17407 |
j-invariant |
L |
5.8658039004627 |
L(r)(E,1)/r! |
Ω |
1.1886898962067 |
Real period |
R |
2.467339850711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696bo1 42848h1 |
Quadratic twists by: -4 8 |