Atkin-Lehner |
2+ 3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190m |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-457029812160 = -1 · 26 · 310 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1871,9476] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-238:1] |
Generators of the group modulo torsion |
j |
724901006643191/457029812160 |
j-invariant |
L |
3.0681618974626 |
L(r)(E,1)/r! |
Ω |
0.58200033149647 |
Real period |
R |
0.52717528348692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bz1 |
Quadratic twists by: -3 |