Atkin-Lehner |
2- 3- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110bc |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1679940 = 22 · 34 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8959680,-10323293508] |
[a1,a2,a3,a4,a6] |
j |
79542861753182056250526721/1679940 |
j-invariant |
L |
2.7923921473346 |
L(r)(E,1)/r! |
Ω |
0.087262254604209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330j4 |
Quadratic twists by: -3 |