Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bs |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2160058171392000 = -1 · 226 · 34 · 53 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25520,-1601600] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1190:1] |
Generators of the group modulo torsion |
j |
448733772344879/527357952000 |
j-invariant |
L |
6.4940839896029 |
L(r)(E,1)/r! |
Ω |
0.24894240340264 |
Real period |
R |
2.1738910623625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bl1 |
Quadratic twists by: -4 |