Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bq |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1961791488 = 212 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,8512] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
19248832/657 |
j-invariant |
L |
6.2392138828336 |
L(r)(E,1)/r! |
Ω |
1.467010381364 |
Real period |
R |
1.063253192018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bp1 21024h1 14016bu1 |
Quadratic twists by: -4 8 -3 |