Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1968i |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
24182784 = 216 · 32 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
81182737/5904 |
j-invariant |
L |
2.1843327723103 |
L(r)(E,1)/r! |
Ω |
1.3837153324861 |
Real period |
R |
0.7892999091026 |
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 |
246e1 7872bi1 5904m1 49200dr1 |
Quadratic twists by: -4 8 -3 5 |