Atkin-Lehner |
2- 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cs |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16113999688710 = 2 · 3 · 5 · 7 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14060,-613110] |
[a1,a2,a3,a4,a6] |
j |
307384245549339841/16113999688710 |
j-invariant |
L |
3.5188990289168 |
L(r)(E,1)/r! |
Ω |
0.4398623786115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bf4 |
Quadratic twists by: -3 |