Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190o |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
502272 |
Modular degree for the optimal curve |
Δ |
-4616115360269040 = -1 · 24 · 312 · 5 · 192 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12861,-3219218] |
[a1,a2,a3,a4,a6] |
j |
235286206605294551/4616115360269040 |
j-invariant |
L |
0.84559264396195 |
L(r)(E,1)/r! |
Ω |
0.21139816097348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114570ce1 |
Quadratic twists by: -3 |