Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050bx |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-2230717401000 = -1 · 23 · 36 · 53 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6552,218056] |
[a1,a2,a3,a4,a6] |
j |
-341385539669/24479752 |
j-invariant |
L |
1.6138505797241 |
L(r)(E,1)/r! |
Ω |
0.80692526362231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450be1 94050dt1 |
Quadratic twists by: -3 5 |