Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bt |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37052347318272 = 226 · 33 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2359105,1395448801] |
[a1,a2,a3,a4,a6] |
Generators |
[837:2560:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
3.0670368323601 |
L(r)(E,1)/r! |
Ω |
0.47290473616771 |
Real period |
R |
1.6213819601462 |
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 |
27456ba2 6864x2 82368dw2 |
Quadratic twists by: -4 8 -3 |