Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456br |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10488886635921408 = 217 · 316 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-326017,71587873] |
[a1,a2,a3,a4,a6] |
Generators |
[-379:11856:1] |
Generators of the group modulo torsion |
j |
29237205357427394/80023854339 |
j-invariant |
L |
5.6773618247432 |
L(r)(E,1)/r! |
Ω |
0.40729998494732 |
Real period |
R |
3.4847545019413 |
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 |
27456x6 6864h5 82368dq6 |
Quadratic twists by: -4 8 -3 |