Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bo |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
508081259962957824 = 221 · 33 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849089,299470689] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:20672:1] |
Generators of the group modulo torsion |
j |
258252149810350513/1938176193096 |
j-invariant |
L |
2.5166009293271 |
L(r)(E,1)/r! |
Ω |
0.2953597078041 |
Real period |
R |
4.2602305982037 |
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 |
27456bi4 6864y3 82368fc4 |
Quadratic twists by: -4 8 -3 |