Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504j |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
700686784512 = 211 · 32 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2328,-16524] |
[a1,a2,a3,a4,a6] |
j |
512095750/257049 |
j-invariant |
L |
2.897103945757 |
L(r)(E,1)/r! |
Ω |
0.72427598317271 |
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 |
37752a2 75504m2 |
Quadratic twists by: -4 -11 |