Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632bc |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
140443837413082112 = 210 · 710 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688760,219503516] |
[a1,a2,a3,a4,a6] |
Generators |
[385:3354:1] |
Generators of the group modulo torsion |
j |
299943806051236/1165774337 |
j-invariant |
L |
5.1936425042195 |
L(r)(E,1)/r! |
Ω |
0.32858687811628 |
Real period |
R |
3.9514987164348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376i1 |
Quadratic twists by: -7 |