Atkin-Lehner |
3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5037c |
Isogeny class |
Conductor |
5037 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-583541487 = -1 · 32 · 233 · 732 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,181,768] |
[a1,a2,a3,a4,a6] |
Generators |
[22:277:8] |
Generators of the group modulo torsion |
j |
650137090247/583541487 |
j-invariant |
L |
3.9197792476709 |
L(r)(E,1)/r! |
Ω |
1.0653282907323 |
Real period |
R |
3.6794097010007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592ba1 15111j1 125925z1 115851d1 |
Quadratic twists by: -4 -3 5 -23 |