Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bz |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.3458769918316E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1254956,488787756] |
[a1,a2,a3,a4,a6] |
Generators |
[1235511550:-93425199687:6028568] |
Generators of the group modulo torsion |
j |
18148802937424/1947796875 |
j-invariant |
L |
5.0314788906454 |
L(r)(E,1)/r! |
Ω |
0.20696565950654 |
Real period |
R |
12.155347186246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660w2 4560v2 |
Quadratic twists by: -4 -19 |