Atkin-Lehner |
17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
1717a |
Isogeny class |
Conductor |
1717 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
328 |
Modular degree for the optimal curve |
Δ |
17515117 = 17 · 1013 |
Discriminant |
Eigenvalues |
0 1 0 5 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-93,-314] |
[a1,a2,a3,a4,a6] |
j |
89915392000/17515117 |
j-invariant |
L |
2.0757772894263 |
L(r)(E,1)/r! |
Ω |
1.5568329670698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27472j1 109888a1 15453f1 42925g1 |
Quadratic twists by: -4 8 -3 5 |