Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bn |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.6560342403816E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8598603,10016627798] |
[a1,a2,a3,a4,a6] |
Generators |
[2531:66836:1] |
Generators of the group modulo torsion |
j |
-94184605035375674404/3558001972390425 |
j-invariant |
L |
5.4851788301047 |
L(r)(E,1)/r! |
Ω |
0.14296530787488 |
Real period |
R |
4.7959002359037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bg3 14280k4 |
Quadratic twists by: -4 -3 |