Atkin-Lehner |
5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065m |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-5.5069832001887E+19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,119282,356656356] |
[a1,a2,a3,a4,a6] |
Generators |
[166:19436:1] |
Generators of the group modulo torsion |
j |
38885863610439/11409159136375 |
j-invariant |
L |
2.6286954715907 |
L(r)(E,1)/r! |
Ω |
0.15409849590812 |
Real period |
R |
1.4215450623993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005b1 |
Quadratic twists by: 13 |