Atkin-Lehner |
17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17629d |
Isogeny class |
Conductor |
17629 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
83844 |
Modular degree for the optimal curve |
Δ |
425521203901 = 178 · 61 |
Discriminant |
Eigenvalues |
2 -1 -1 4 0 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-86796,9871263] |
[a1,a2,a3,a4,a6] |
j |
10366603264/61 |
j-invariant |
L |
2.5167921712404 |
L(r)(E,1)/r! |
Ω |
0.83893072374681 |
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 |
17629c1 |
Quadratic twists by: 17 |