Atkin-Lehner |
2+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55744a |
Isogeny class |
Conductor |
55744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-724672 = -1 · 26 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 0 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
18399744/11323 |
j-invariant |
L |
6.8955656363883 |
L(r)(E,1)/r! |
Ω |
1.6492582916442 |
Real period |
R |
2.0905050686501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55744c1 27872c1 |
Quadratic twists by: -4 8 |