Atkin-Lehner |
7- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17017c |
Isogeny class |
Conductor |
17017 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
14175161 = 73 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1016,-12213] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:8329:27] |
Generators of the group modulo torsion |
j |
116050030073433/14175161 |
j-invariant |
L |
6.6221919745146 |
L(r)(E,1)/r! |
Ω |
0.84558890450294 |
Real period |
R |
5.2209704102865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119119f1 |
Quadratic twists by: -7 |