Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720p |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-183173120 = -1 · 216 · 5 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -3 5- -2 6 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,634] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-32:1] |
Generators of the group modulo torsion |
j |
4019679/44720 |
j-invariant |
L |
3.4489430230899 |
L(r)(E,1)/r! |
Ω |
1.3255694080842 |
Real period |
R |
0.65046443476644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590g1 |
Quadratic twists by: -4 |