Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322d |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
224032180801907712 = 210 · 3 · 1310 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2755210,1758978772] |
[a1,a2,a3,a4,a6] |
j |
479212306722528625/46414138368 |
j-invariant |
L |
1.2048013414314 |
L(r)(E,1)/r! |
Ω |
0.30120033535784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966z2 1794g2 |
Quadratic twists by: -3 13 |