Atkin-Lehner |
3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12441f |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-901984941 = -1 · 32 · 112 · 134 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 2 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,38,1445] |
[a1,a2,a3,a4,a6] |
j |
6300872423/901984941 |
j-invariant |
L |
2.4249956702627 |
L(r)(E,1)/r! |
Ω |
1.2124978351313 |
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 |
37323h2 |
Quadratic twists by: -3 |