Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bv |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-431334720000000 = -1 · 212 · 36 · 57 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,-999488] |
[a1,a2,a3,a4,a6] |
j |
1685159/6739605 |
j-invariant |
L |
1.9629356715694 |
L(r)(E,1)/r! |
Ω |
0.24536695892701 |
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 |
3225g2 10320bj2 |
Quadratic twists by: -4 5 |