Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456y |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2024275968 = 219 · 33 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2635777,1646188127] |
[a1,a2,a3,a4,a6] |
j |
7725203825376001537/7722 |
j-invariant |
L |
3.908012287659 |
L(r)(E,1)/r! |
Ω |
0.65133538127659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bs4 858h4 82368bv4 |
Quadratic twists by: -4 8 -3 |