Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968bs |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-333635838838272 = -1 · 29 · 36 · 197 |
Discriminant |
Eigenvalues |
2- 3- 0 1 2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16245,-370386] |
[a1,a2,a3,a4,a6] |
j |
27000/19 |
j-invariant |
L |
2.4419488025841 |
L(r)(E,1)/r! |
Ω |
0.30524359981572 |
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 |
103968bt1 11552k1 5472j1 |
Quadratic twists by: -4 -3 -19 |