Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544bf |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14028988716417024 = 224 · 310 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183756,-29778320] |
[a1,a2,a3,a4,a6] |
j |
3590714269297/73410624 |
j-invariant |
L |
0.92350433219097 |
L(r)(E,1)/r! |
Ω |
0.23087608114223 |
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 |
68544en2 2142d2 22848bc2 |
Quadratic twists by: -4 8 -3 |