Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752a |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[81:594:1] |
Generators of the group modulo torsion |
j |
512095750/257049 |
j-invariant |
L |
4.5323042841003 |
L(r)(E,1)/r! |
Ω |
0.80054131128848 |
Real period |
R |
2.8307747646427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504j2 113256bj2 37752n2 |
Quadratic twists by: -4 -3 -11 |