Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442bf |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-564487120721452032 = -1 · 210 · 38 · 138 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1415463,649069641] |
[a1,a2,a3,a4,a6] |
Generators |
[690:669:1] |
Generators of the group modulo torsion |
j |
-384478870140625/692001792 |
j-invariant |
L |
15.513271265664 |
L(r)(E,1)/r! |
Ω |
0.29139365851166 |
Real period |
R |
0.22182579588765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442k1 |
Quadratic twists by: 13 |