Atkin-Lehner |
2+ 3+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4416a |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-70325895168 = -1 · 222 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2273,44385] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:216:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
3.3276387135848 |
L(r)(E,1)/r! |
Ω |
1.0819452958143 |
Real period |
R |
1.5378035869551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416z1 138b1 13248o1 110400dy1 |
Quadratic twists by: -4 8 -3 5 |