Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080o |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24713262080 = 210 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,7461] |
[a1,a2,a3,a4,a6] |
Generators |
[-1755:16368:125] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
6.8760727197596 |
L(r)(E,1)/r! |
Ω |
1.1078110740428 |
Real period |
R |
6.2069001482549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080ck1 3380i1 320c1 |
Quadratic twists by: -4 8 13 |