Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568b |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-74043072 = -1 · 26 · 37 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 4 3 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,891] |
[a1,a2,a3,a4,a6] |
j |
-11776000/2187 |
j-invariant |
L |
1.8631601782376 |
L(r)(E,1)/r! |
Ω |
1.8631603117988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568de1 1587e1 101568a1 |
Quadratic twists by: -4 8 -23 |