Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bi |
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] |
Generators |
[451:52:1] |
Generators of the group modulo torsion |
j |
5963839942798084/1785 |
j-invariant |
L |
5.6288444755196 |
L(r)(E,1)/r! |
Ω |
0.24166255986264 |
Real period |
R |
5.8230415188281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999997878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ip4 14280bc3 |
Quadratic twists by: -4 8 |