Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
74892a |
Isogeny class |
Conductor |
74892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-132737418912331008 = -1 · 28 · 33 · 797 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72812,-15838040] |
[a1,a2,a3,a4,a6] |
Generators |
[13878:1635142:1] |
Generators of the group modulo torsion |
j |
686000/2133 |
j-invariant |
L |
6.3806693884038 |
L(r)(E,1)/r! |
Ω |
0.16810601402052 |
Real period |
R |
3.1630186000197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
948c1 |
Quadratic twists by: -79 |