Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568u |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-184035053666304 = -1 · 232 · 34 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 0 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12481,840863] |
[a1,a2,a3,a4,a6] |
Generators |
[539:12288:1] |
Generators of the group modulo torsion |
j |
-1550640289/1327104 |
j-invariant |
L |
8.5801666394353 |
L(r)(E,1)/r! |
Ω |
0.52049848514986 |
Real period |
R |
1.0302823718172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cc1 3174e1 101568r1 |
Quadratic twists by: -4 8 -23 |