Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17304d |
Isogeny class |
Conductor |
17304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
134555904 = 28 · 36 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-175204,28285444] |
[a1,a2,a3,a4,a6] |
j |
2323369463064342352/525609 |
j-invariant |
L |
0.54069660861249 |
L(r)(E,1)/r! |
Ω |
1.081393217225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34608g1 51912f1 121128bd1 |
Quadratic twists by: -4 -3 -7 |