Atkin-Lehner |
2+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880g |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-30550000 = -1 · 24 · 55 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 4 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
-58107136/1909375 |
j-invariant |
L |
10.067415859599 |
L(r)(E,1)/r! |
Ω |
1.741929587844 |
Real period |
R |
1.1558923999992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24440h1 |
Quadratic twists by: -4 |