Atkin-Lehner |
2+ 3+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990d |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-38210001663600 = -1 · 24 · 39 · 52 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7224,381680] |
[a1,a2,a3,a4,a6] |
Generators |
[4:592:1] |
Generators of the group modulo torsion |
j |
-2118358441107/1941269200 |
j-invariant |
L |
5.5606062987433 |
L(r)(E,1)/r! |
Ω |
0.59200363342144 |
Real period |
R |
2.3482145990172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990z1 |
Quadratic twists by: -3 |