Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456br |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1485965573554176 = 216 · 38 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28577,142785] |
[a1,a2,a3,a4,a6] |
Generators |
[19209:497420:27] |
Generators of the group modulo torsion |
j |
39383007958948/22674035241 |
j-invariant |
L |
5.6773618247432 |
L(r)(E,1)/r! |
Ω |
0.40729998494732 |
Real period |
R |
6.9695090038825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456x4 6864h3 82368dq4 |
Quadratic twists by: -4 8 -3 |