Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9044g |
Isogeny class |
Conductor |
9044 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
578816 = 28 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -4 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
4194304/2261 |
j-invariant |
L |
5.8569320978881 |
L(r)(E,1)/r! |
Ω |
2.5385194779046 |
Real period |
R |
0.76907453982097 |
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 |
36176t1 81396l1 63308h1 |
Quadratic twists by: -4 -3 -7 |