Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bp |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-623465289547776 = -1 · 216 · 316 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10111,1132449] |
[a1,a2,a3,a4,a6] |
Generators |
[381:30520:27] |
Generators of the group modulo torsion |
j |
1744147297148/9513325341 |
j-invariant |
L |
4.9236095301234 |
L(r)(E,1)/r! |
Ω |
0.37049966349446 |
Real period |
R |
6.6445533090177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432v3 10608k4 127296cc3 |
Quadratic twists by: -4 8 -3 |