Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59823n |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
247128813 = 37 · 173 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 3 -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255,-1373] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:5:8] |
Generators of the group modulo torsion |
j |
512000/69 |
j-invariant |
L |
13.617537286695 |
L(r)(E,1)/r! |
Ω |
1.2053722968956 |
Real period |
R |
2.8243425955441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19941b1 59823k1 |
Quadratic twists by: -3 17 |