Atkin-Lehner |
2- 3+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bb |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-1.1883730070264E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-676628480,-6776753876575] |
[a1,a2,a3,a4,a6] |
Generators |
[43943:6931153:1] |
Generators of the group modulo torsion |
j |
-34258988276876079443876743249921/11883730070263748400000000 |
j-invariant |
L |
8.9405451721774 |
L(r)(E,1)/r! |
Ω |
0.014800382986677 |
Real period |
R |
3.7754703629231 |
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 |
88110k3 |
Quadratic twists by: -3 |