Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580k |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
1906730096334411600 = 24 · 315 · 52 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310008,-310007] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:8019:1] |
Generators of the group modulo torsion |
j |
282484683468046336/163471373142525 |
j-invariant |
L |
6.7541784953655 |
L(r)(E,1)/r! |
Ω |
0.22210700115715 |
Real period |
R |
2.534130867458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34860j1 |
Quadratic twists by: -3 |