Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190w |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
261219600 = 24 · 33 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154366,-23408341] |
[a1,a2,a3,a4,a6] |
Generators |
[703:14349:1] |
Generators of the group modulo torsion |
j |
406798028956086967009/261219600 |
j-invariant |
L |
6.0846566235127 |
L(r)(E,1)/r! |
Ω |
0.24085830589861 |
Real period |
R |
6.3155976714308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570v2 |
Quadratic twists by: -3 |