Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568k |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
28422890688 = 26 · 3 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2292,42222] |
[a1,a2,a3,a4,a6] |
j |
140608/3 |
j-invariant |
L |
4.7232254980577 |
L(r)(E,1)/r! |
Ω |
1.1808064578949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568be1 50784q3 192a1 |
Quadratic twists by: -4 8 -23 |