Atkin-Lehner |
2- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4144f |
Isogeny class |
Conductor |
4144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17829941248 = 212 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3043,64290] |
[a1,a2,a3,a4,a6] |
j |
760798453689/4353013 |
j-invariant |
L |
2.4698611048948 |
L(r)(E,1)/r! |
Ω |
1.2349305524474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
259a2 16576i2 37296bu2 103600bq2 |
Quadratic twists by: -4 8 -3 5 |