Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240di |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
30550565283840000 = 214 · 36 · 54 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86161,4874639] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:3825:1] |
Generators of the group modulo torsion |
j |
4317586088880976/1864658525625 |
j-invariant |
L |
6.2685548154612 |
L(r)(E,1)/r! |
Ω |
0.33485200462511 |
Real period |
R |
0.78001558556893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057849 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240gg2 14280bj2 |
Quadratic twists by: -4 8 |