Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190i |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-502403718547800 = -1 · 23 · 38 · 52 · 19 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12691,-926368] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1252:1] |
Generators of the group modulo torsion |
j |
226079110470754871/502403718547800 |
j-invariant |
L |
4.9703696354631 |
L(r)(E,1)/r! |
Ω |
0.2713569536139 |
Real period |
R |
1.1447950681905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bt3 |
Quadratic twists by: -3 |