Atkin-Lehner |
13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83317h |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
354432 |
Modular degree for the optimal curve |
Δ |
67964236481557 = 1310 · 17 · 29 |
Discriminant |
Eigenvalues |
0 -1 -4 2 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-152325,22929987] |
[a1,a2,a3,a4,a6] |
Generators |
[307:2237:1] |
Generators of the group modulo torsion |
j |
2835349504/493 |
j-invariant |
L |
3.121034604229 |
L(r)(E,1)/r! |
Ω |
0.59865211137148 |
Real period |
R |
5.2134362284243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83317g1 |
Quadratic twists by: 13 |