Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bb |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-951730891776 = -1 · 210 · 38 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,211,46869] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-180:1] [-31:114:1] |
Generators of the group modulo torsion |
j |
596183/543744 |
j-invariant |
L |
11.736443090395 |
L(r)(E,1)/r! |
Ω |
0.6887345078512 |
Real period |
R |
0.14200492541759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346b1 52038bk1 |
Quadratic twists by: -3 -7 |