Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fz |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
793152000000 = 212 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326475,-71799750] |
[a1,a2,a3,a4,a6] |
j |
82483294977/17 |
j-invariant |
L |
3.1956341944759 |
L(r)(E,1)/r! |
Ω |
0.19972713735861 |
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 |
3825i3 6800h3 2448o3 |
Quadratic twists by: -4 -3 5 |