Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312x |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19047823872 = 29 · 3 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27144,1712280] |
[a1,a2,a3,a4,a6] |
j |
2438569736/21 |
j-invariant |
L |
2.1985963302744 |
L(r)(E,1)/r! |
Ω |
1.0992981492136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312e4 672f2 |
Quadratic twists by: -4 -11 |