Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
218002799185920000 = 215 · 32 · 54 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194145,24007743] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:7140:1] |
Generators of the group modulo torsion |
j |
24697593872812232/6652917455625 |
j-invariant |
L |
9.8456894109951 |
L(r)(E,1)/r! |
Ω |
0.29437682174986 |
Real period |
R |
0.69678898989382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hq2 57120a2 |
Quadratic twists by: -4 8 |