Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1044c |
Isogeny class |
Conductor |
1044 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-8860816368 = -1 · 24 · 33 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -5 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,5157] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:87:1] |
Generators of the group modulo torsion |
j |
-10512288000/20511149 |
j-invariant |
L |
2.4721232776361 |
L(r)(E,1)/r! |
Ω |
1.1602737647922 |
Real period |
R |
0.21306379172323 |
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 |
4176s1 16704a1 1044a1 26100h1 |
Quadratic twists by: -4 8 -3 5 |