Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384dj |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102732015108096 = 215 · 37 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17004,700400] |
[a1,a2,a3,a4,a6] |
j |
22761429704/4300593 |
j-invariant |
L |
2.2684238786984 |
L(r)(E,1)/r! |
Ω |
0.56710613779094 |
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 |
120384da3 60192t3 40128bg3 |
Quadratic twists by: -4 8 -3 |