Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070p |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
52481654784000 = 218 · 36 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22461,-1257261] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:260:1] |
Generators of the group modulo torsion |
j |
570403428460237/23887872000 |
j-invariant |
L |
4.4249043071402 |
L(r)(E,1)/r! |
Ω |
0.39098814339962 |
Real period |
R |
0.62873522180463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cn1 15210x1 25350bk1 5070h1 |
Quadratic twists by: -4 -3 5 13 |