Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920p |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
129690735876000000 = 28 · 312 · 56 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-770007,259492106] |
[a1,a2,a3,a4,a6] |
j |
270545452452260944/694930640625 |
j-invariant |
L |
3.9621455203048 |
L(r)(E,1)/r! |
Ω |
0.33017879635207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640n2 |
Quadratic twists by: -3 |