Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080ck |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
617831552000 = 210 · 53 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27941,1787995] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1859:1] [31:976:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
7.1760979261674 |
L(r)(E,1)/r! |
Ω |
0.89200097900339 |
Real period |
R |
8.0449440024015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080o3 13520bb3 320f3 |
Quadratic twists by: -4 8 13 |