Atkin-Lehner |
2+ 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642k |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
52414800359657472 = 212 · 34 · 119 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122092,-12187606] |
[a1,a2,a3,a4,a6] |
Generators |
[418:2930:1] |
Generators of the group modulo torsion |
j |
85358358827/22228992 |
j-invariant |
L |
5.8167463421408 |
L(r)(E,1)/r! |
Ω |
0.26033462123041 |
Real period |
R |
5.5858363312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48642v1 |
Quadratic twists by: -11 |