Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720o |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1831731200000 = -1 · 220 · 55 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 2 2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10440,-419212] |
[a1,a2,a3,a4,a6] |
Generators |
[286:4480:1] |
Generators of the group modulo torsion |
j |
-30726058889161/447200000 |
j-invariant |
L |
8.4222121488784 |
L(r)(E,1)/r! |
Ω |
0.23594738040325 |
Real period |
R |
1.7847649197179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590c1 |
Quadratic twists by: -4 |