Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cn |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1667100585937500 = 22 · 32 · 512 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32563,1118117] |
[a1,a2,a3,a4,a6] |
j |
244386801446761/106694437500 |
j-invariant |
L |
3.4096531243186 |
L(r)(E,1)/r! |
Ω |
0.42620664088621 |
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 |
16590f2 |
Quadratic twists by: 5 |