Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bg |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
174630240387072 = 217 · 32 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813249,282010527] |
[a1,a2,a3,a4,a6] |
Generators |
[153:12696:1] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
7.5579568698525 |
L(r)(E,1)/r! |
Ω |
0.49710065980476 |
Real period |
R |
1.9005096620913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568cm6 12696j5 192c5 |
Quadratic twists by: -4 8 -23 |