Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32984g |
Isogeny class |
Conductor |
32984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1692192618518528 = 211 · 72 · 19 · 316 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29792,-29792] |
[a1,a2,a3,a4,a6] |
j |
1427931306051266/826265927011 |
j-invariant |
L |
1.594534273745 |
L(r)(E,1)/r! |
Ω |
0.39863356843695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65968a2 |
Quadratic twists by: -4 |