Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cn |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1919196426240000 = 215 · 311 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86412,9547184] |
[a1,a2,a3,a4,a6] |
Generators |
[88:1620:1] |
Generators of the group modulo torsion |
j |
2987228332808/80341875 |
j-invariant |
L |
7.1018436045011 |
L(r)(E,1)/r! |
Ω |
0.4662416207757 |
Real period |
R |
0.95200686827264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dc2 33120h2 22080i2 |
Quadratic twists by: -4 8 -3 |