Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430i |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-20510537169780 = -1 · 22 · 32 · 5 · 74 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6072,-286524] |
[a1,a2,a3,a4,a6] |
j |
-24764567772437641/20510537169780 |
j-invariant |
L |
1.0449360171209 |
L(r)(E,1)/r! |
Ω |
0.26123400428021 |
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 |
52290cc3 87150cn3 122010s3 |
Quadratic twists by: -3 5 -7 |