Atkin-Lehner |
2- 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
296485141924125000 = 23 · 34 · 56 · 76 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1333355333356,-592607370447828664] |
[a1,a2,a3,a4,a6] |
j |
262156976355489363181342849900999019467969/296485141924125000 |
j-invariant |
L |
5.7579525364611 |
L(r)(E,1)/r! |
Ω |
0.0044428646114363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bt8 |
Quadratic twists by: -3 |