Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682p |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2709195081816548 = 22 · 1310 · 173 |
Discriminant |
Eigenvalues |
2- -2 4 2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71406,-6910112] |
[a1,a2,a3,a4,a6] |
j |
1697936057/114244 |
j-invariant |
L |
4.6926581472408 |
L(r)(E,1)/r! |
Ω |
0.29329115240378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514d2 97682n2 |
Quadratic twists by: 13 17 |