Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672n |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1405125568 = -1 · 26 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54,-1792] |
[a1,a2,a3,a4,a6] |
Generators |
[32:168:1] |
Generators of the group modulo torsion |
j |
-277167808/21955087 |
j-invariant |
L |
8.224407850881 |
L(r)(E,1)/r! |
Ω |
0.6699178055181 |
Real period |
R |
2.0461236147291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672f1 113344eo1 |
Quadratic twists by: -4 8 |