Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cn |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4519967588352 = 220 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,39760] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:171:1] [-16:324:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
7.3356279683032 |
L(r)(E,1)/r! |
Ω |
0.68518891436368 |
Real period |
R |
2.6764983402851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048be1 10512y1 14016ce1 |
Quadratic twists by: -4 8 -3 |