Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850cd |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2409964876800 = -1 · 210 · 34 · 52 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1683,79137] |
[a1,a2,a3,a4,a6] |
Generators |
[96:849:1] |
Generators of the group modulo torsion |
j |
-21088815109465/96398595072 |
j-invariant |
L |
10.617011166197 |
L(r)(E,1)/r! |
Ω |
0.70945544125637 |
Real period |
R |
0.062354228261899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850l1 |
Quadratic twists by: 5 |