Atkin-Lehner |
2- 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77832f |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18560130048 = 210 · 36 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8955,-326106] |
[a1,a2,a3,a4,a6] |
j |
106388086500/24863 |
j-invariant |
L |
3.926261602071 |
L(r)(E,1)/r! |
Ω |
0.49078270249933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8648a2 |
Quadratic twists by: -3 |