Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640di |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
463383109497600 = 28 · 34 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41996,3132504] |
[a1,a2,a3,a4,a6] |
j |
680136784/38475 |
j-invariant |
L |
4.1488991804764 |
L(r)(E,1)/r! |
Ω |
0.51861239933027 |
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 |
21660h2 4560p2 |
Quadratic twists by: -4 -19 |