Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bu |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7155325403136000000 = 222 · 310 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-641307,150037706] |
[a1,a2,a3,a4,a6] |
j |
9768641617435609/2396304000000 |
j-invariant |
L |
2.6542034192947 |
L(r)(E,1)/r! |
Ω |
0.22118361827449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3870z2 123840fb2 10320o2 |
Quadratic twists by: -4 8 -3 |