Atkin-Lehner |
13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83317i |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-34021381918589 = -1 · 136 · 172 · 293 |
Discriminant |
Eigenvalues |
1 -3 -1 2 -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9580,459577] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-505:1] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
3.5051791275616 |
L(r)(E,1)/r! |
Ω |
0.61693684397077 |
Real period |
R |
0.94693083508827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
493b1 |
Quadratic twists by: 13 |