Atkin-Lehner |
2+ 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190r |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
163262250000 = 24 · 33 · 56 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-588893,173892008] |
[a1,a2,a3,a4,a6] |
Generators |
[8142:196565:8] |
Generators of the group modulo torsion |
j |
22585610178197997061321/163262250000 |
j-invariant |
L |
6.2219887384596 |
L(r)(E,1)/r! |
Ω |
0.70363662468142 |
Real period |
R |
4.4213081867898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114570bm1 |
Quadratic twists by: -3 |