Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692l |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
487193616 = 24 · 39 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4941,133677] |
[a1,a2,a3,a4,a6] |
Generators |
[33:81:1] |
Generators of the group modulo torsion |
j |
42360102144/1547 |
j-invariant |
L |
8.4931863171467 |
L(r)(E,1)/r! |
Ω |
1.5520544649344 |
Real period |
R |
0.91203697089014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692j1 |
Quadratic twists by: -3 |