Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ip |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
116981760 = 216 · 3 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152321,22830975] |
[a1,a2,a3,a4,a6] |
j |
5963839942798084/1785 |
j-invariant |
L |
4.4365401645677 |
L(r)(E,1)/r! |
Ω |
1.109134868362 |
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 |
114240bi4 28560t4 |
Quadratic twists by: -4 8 |