Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020l |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4431657668400 = -1 · 24 · 33 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3468,63869] |
[a1,a2,a3,a4,a6] |
Generators |
[4114:93925:8] |
Generators of the group modulo torsion |
j |
442368/425 |
j-invariant |
L |
6.8122618276661 |
L(r)(E,1)/r! |
Ω |
0.50925532121061 |
Real period |
R |
3.3442271214328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52020e1 3060a1 |
Quadratic twists by: -3 17 |