Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984bs |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3756492407660544 = 213 · 33 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191691,-32168710] |
[a1,a2,a3,a4,a6] |
Generators |
[-2126:571:8] |
Generators of the group modulo torsion |
j |
149721291/722 |
j-invariant |
L |
5.7989881833788 |
L(r)(E,1)/r! |
Ω |
0.22823128055714 |
Real period |
R |
6.3520961820237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6498p2 51984bq2 2736l2 |
Quadratic twists by: -4 -3 -19 |