Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280x |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4515914511360 = 210 · 32 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17120,-861840] |
[a1,a2,a3,a4,a6] |
j |
541951476635524/4410072765 |
j-invariant |
L |
3.3406011778987 |
L(r)(E,1)/r! |
Ω |
0.41757514723733 |
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 |
28560z4 114240k4 42840bj4 71400cn4 |
Quadratic twists by: -4 8 -3 5 |