Atkin-Lehner |
3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739h |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45934707 = -1 · 3 · 72 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7- -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66,379] |
[a1,a2,a3,a4,a6] |
Generators |
[19:68:1] |
Generators of the group modulo torsion |
j |
-31107273625/45934707 |
j-invariant |
L |
6.6307338730783 |
L(r)(E,1)/r! |
Ω |
1.8148901142931 |
Real period |
R |
1.8267590475198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217g2 82173c2 |
Quadratic twists by: -3 -7 |