Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cc |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4582744915968 = 217 · 38 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14700,678224] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1168:1] [26:560:1] |
Generators of the group modulo torsion |
j |
3676531250/47961 |
j-invariant |
L |
8.1336366932726 |
L(r)(E,1)/r! |
Ω |
0.77605997392586 |
Real period |
R |
2.6201701435934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048u2 10512h2 14016bk2 |
Quadratic twists by: -4 8 -3 |