Atkin-Lehner |
29+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
69803a |
Isogeny class |
Conductor |
69803 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47656 |
Modular degree for the optimal curve |
Δ |
-49370335643 = -1 · 296 · 83 |
Discriminant |
Eigenvalues |
1 1 -2 -3 -3 -6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,823,-5549] |
[a1,a2,a3,a4,a6] |
Generators |
[13:79:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
2.2340934562654 |
L(r)(E,1)/r! |
Ω |
0.62662314357089 |
Real period |
R |
3.5652903647082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83a1 |
Quadratic twists by: 29 |