Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cs |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-690864184098816 = -1 · 219 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235167745,1388002409471] |
[a1,a2,a3,a4,a6] |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
3.0299412006554 |
L(r)(E,1)/r! |
Ω |
0.21642437147538 |
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 |
17472m2 4368n2 52416fg2 122304fe2 |
Quadratic twists by: -4 8 -3 -7 |