Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384da |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1173876903936 = 212 · 38 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5124,131200] |
[a1,a2,a3,a4,a6] |
j |
4982686912/393129 |
j-invariant |
L |
3.3884363311181 |
L(r)(E,1)/r! |
Ω |
0.84710945096187 |
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 |
120384dj2 60192x1 40128cf2 |
Quadratic twists by: -4 8 -3 |