Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046q |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33497587231682 = 2 · 74 · 178 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8098,32994] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:4171:8] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
3.9513978079883 |
L(r)(E,1)/r! |
Ω |
0.56216779990549 |
Real period |
R |
1.7572145757248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368k2 129472be2 36414be2 101150g2 |
Quadratic twists by: -4 8 -3 5 |