Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384n |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
98304823296 = 212 · 32 · 232 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1312,-9920] |
[a1,a2,a3,a4,a6] |
Generators |
[90:770:1] |
Generators of the group modulo torsion |
j |
61023377953/24000201 |
j-invariant |
L |
6.5546133422115 |
L(r)(E,1)/r! |
Ω |
0.82038183730937 |
Real period |
R |
3.9948552270072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4899d2 |
Quadratic twists by: -4 |