Atkin-Lehner |
2+ 3- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130s |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-52547256852480 = -1 · 213 · 38 · 5 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234009,43630893] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-99:1] |
Generators of the group modulo torsion |
j |
-1943993954077461649/72081285120 |
j-invariant |
L |
5.2044125525086 |
L(r)(E,1)/r! |
Ω |
0.5911077930769 |
Real period |
R |
2.2011266773645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710bd1 |
Quadratic twists by: -3 |