Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080t |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-90346941218160640 = -1 · 217 · 5 · 1310 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38081,-14754401] |
[a1,a2,a3,a4,a6] |
Generators |
[397:5732:1] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
1.6447547369125 |
L(r)(E,1)/r! |
Ω |
0.14535160086786 |
Real period |
R |
5.6578487170667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080cg1 6760l1 54080bq1 |
Quadratic twists by: -4 8 13 |