Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400o |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
142111260000000000 = 211 · 39 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135675,-6405750] |
[a1,a2,a3,a4,a6] |
j |
438512454/225625 |
j-invariant |
L |
4.2074077770471 |
L(r)(E,1)/r! |
Ω |
0.26296298595 |
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 |
34200by2 68400p2 13680f2 |
Quadratic twists by: -4 -3 5 |