Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bg |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2188858095703125 = -1 · 37 · 510 · 7 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11020,-2209228] |
[a1,a2,a3,a4,a6] |
j |
12994449551/192163125 |
j-invariant |
L |
1.8100788926293 |
L(r)(E,1)/r! |
Ω |
0.22625986157867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775s4 3465p4 121275eo3 |
Quadratic twists by: -3 5 -7 |