Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bf |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1725781250000 = 24 · 511 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 1 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45213,-3703583] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:69:1] |
Generators of the group modulo torsion |
j |
296141003881/50000 |
j-invariant |
L |
7.5390276674257 |
L(r)(E,1)/r! |
Ω |
0.32740708524587 |
Real period |
R |
2.8783080671202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090e1 110450bg1 |
Quadratic twists by: 5 -47 |