Atkin-Lehner |
17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
17051d |
Isogeny class |
Conductor |
17051 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-84274946322067 = -1 · 177 · 593 |
Discriminant |
Eigenvalues |
2 0 2 2 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11849,664483] |
[a1,a2,a3,a4,a6] |
j |
-7622111232/3491443 |
j-invariant |
L |
6.8053460648491 |
L(r)(E,1)/r! |
Ω |
0.56711217207076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003d1 |
Quadratic twists by: 17 |