Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640bn |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-672546240 = -1 · 26 · 37 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,1208] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] [1:36:1] |
Generators of the group modulo torsion |
j |
1560896/14415 |
j-invariant |
L |
8.0556147893333 |
L(r)(E,1)/r! |
Ω |
1.1834341445856 |
Real period |
R |
3.4034909446333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bi1 89280fx2 14880g1 |
Quadratic twists by: -4 8 -3 |