Atkin-Lehner |
2+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51040b |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43477913600 = -1 · 212 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652,-11904] |
[a1,a2,a3,a4,a6] |
j |
-7483530816/10614725 |
j-invariant |
L |
1.7971326348378 |
L(r)(E,1)/r! |
Ω |
0.44928315893866 |
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 |
51040f2 102080bh1 |
Quadratic twists by: -4 8 |