Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190w |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-79586737920 = -1 · 28 · 36 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9646,-368917] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1563:1] |
Generators of the group modulo torsion |
j |
-99258635075509729/79586737920 |
j-invariant |
L |
6.0846566235127 |
L(r)(E,1)/r! |
Ω |
0.24085830589861 |
Real period |
R |
3.1577988357154 |
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 |
114570v1 |
Quadratic twists by: -3 |