Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384l |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3471520254532780032 = -1 · 225 · 38 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250260,-75590224] |
[a1,a2,a3,a4,a6] |
j |
9070486526375/18165704832 |
j-invariant |
L |
2.0884396930916 |
L(r)(E,1)/r! |
Ω |
0.13052751285983 |
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 |
120384do2 3762p2 40128j2 |
Quadratic twists by: -4 8 -3 |