Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984bd |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
394210050048 = 222 · 33 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16620,824144] |
[a1,a2,a3,a4,a6] |
Generators |
[26:640:1] |
Generators of the group modulo torsion |
j |
71732023875/55696 |
j-invariant |
L |
6.2628105769197 |
L(r)(E,1)/r! |
Ω |
0.94148487281166 |
Real period |
R |
1.6630141274114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984a2 8496j2 33984ba2 |
Quadratic twists by: -4 8 -3 |