Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048br |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2057087471321088 = 232 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74604,-7533488] |
[a1,a2,a3,a4,a6] |
Generators |
[3356:193752:1] |
Generators of the group modulo torsion |
j |
240293820313/10764288 |
j-invariant |
L |
6.7471632141695 |
L(r)(E,1)/r! |
Ω |
0.2896749236538 |
Real period |
R |
5.8230473741596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048i1 10512p1 14016bv1 |
Quadratic twists by: -4 8 -3 |