Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304c |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-56548352 = -1 · 210 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,-367] |
[a1,a2,a3,a4,a6] |
j |
1257728/55223 |
j-invariant |
L |
1.9032924995923 |
L(r)(E,1)/r! |
Ω |
0.95164624979613 |
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 |
10304bc1 644a1 92736bf1 72128o1 |
Quadratic twists by: -4 8 -3 -7 |