Atkin-Lehner |
3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8037a |
Isogeny class |
Conductor |
8037 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
333961461 = 39 · 192 · 47 |
Discriminant |
Eigenvalues |
0 3- -1 -3 -3 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-318,-1998] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] [-10:13:1] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
4.3928705565098 |
L(r)(E,1)/r! |
Ω |
1.1373646997383 |
Real period |
R |
0.96558090767204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592m1 2679d1 |
Quadratic twists by: -4 -3 |