Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bf |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4423866679296 = 215 · 39 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350379,79827930] |
[a1,a2,a3,a4,a6] |
j |
8602523649/8 |
j-invariant |
L |
2.5979002455275 |
L(r)(E,1)/r! |
Ω |
0.64947506133364 |
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 |
6498m2 51984bi2 51984bg2 |
Quadratic twists by: -4 -3 -19 |