Atkin-Lehner |
2- 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672w |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47824441344 = 212 · 32 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1224,13104] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:96:1] [-22:170:1] |
Generators of the group modulo torsion |
j |
49552182217/11675889 |
j-invariant |
L |
7.2765051851557 |
L(r)(E,1)/r! |
Ω |
1.0638846392421 |
Real period |
R |
3.4197811100742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3417g2 |
Quadratic twists by: -4 |