Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248bc |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
275968 = 29 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-8] |
[a1,a2,a3,a4,a6] |
j |
19208/11 |
j-invariant |
L |
5.1504590520149 |
L(r)(E,1)/r! |
Ω |
2.5752295260074 |
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 |
17248k1 34496s1 17248y1 |
Quadratic twists by: -4 8 -7 |