Atkin-Lehner |
13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83317g |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
14080573 = 134 · 17 · 29 |
Discriminant |
Eigenvalues |
0 -1 4 -2 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,10714] |
[a1,a2,a3,a4,a6] |
Generators |
[22:32:1] |
Generators of the group modulo torsion |
j |
2835349504/493 |
j-invariant |
L |
4.7869617881213 |
L(r)(E,1)/r! |
Ω |
2.1584708837146 |
Real period |
R |
0.73925200633672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83317h1 |
Quadratic twists by: 13 |