Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cw |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
213647050298400768 = 213 · 35 · 77 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14230792,20658166388] |
[a1,a2,a3,a4,a6] |
j |
661397832743623417/443352042 |
j-invariant |
L |
5.2264079598937 |
L(r)(E,1)/r! |
Ω |
0.26132039799293 |
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 |
5586j3 6384t3 |
Quadratic twists by: -4 -7 |