Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cs |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3198660710400 = 212 · 310 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24852,1505504] |
[a1,a2,a3,a4,a6] |
j |
568486650304/1071225 |
j-invariant |
L |
3.1909592978819 |
L(r)(E,1)/r! |
Ω |
0.79773982382717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240cg2 33120bd1 22080a2 |
Quadratic twists by: -4 8 -3 |