Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1584m |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-7576222896 = -1 · 24 · 316 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,8215] |
[a1,a2,a3,a4,a6] |
Generators |
[17:36:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
2.519050246377 |
L(r)(E,1)/r! |
Ω |
1.2637553269436 |
Real period |
R |
1.9933053437403 |
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 |
396a1 6336ch1 528i1 39600dg1 |
Quadratic twists by: -4 8 -3 5 |