Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440da |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-1732429635552000 = -1 · 28 · 315 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20208,2287532] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1458:1] |
Generators of the group modulo torsion |
j |
-4890195460096/9282994875 |
j-invariant |
L |
4.4293984943038 |
L(r)(E,1)/r! |
Ω |
0.42072848566611 |
Real period |
R |
1.3159907889287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13860r1 18480ce1 |
Quadratic twists by: -4 -3 |