Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228b |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
10499328 = 28 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,-279] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
7168000/837 |
j-invariant |
L |
4.7355807349171 |
L(r)(E,1)/r! |
Ω |
1.5477001949592 |
Real period |
R |
1.0199177571859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912cu1 54684k1 18228j1 |
Quadratic twists by: -4 -3 -7 |