Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038bl |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-20240804556 = -1 · 22 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,211,6689] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
1.8148995223869 |
L(r)(E,1)/r! |
Ω |
0.90744976095731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782c1 1062l1 |
Quadratic twists by: -3 -7 |