Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038p |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-3711808281010765824 = -1 · 228 · 314 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,316377,-62534403] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:5109:8] |
Generators of the group modulo torsion |
j |
98042424501284543/103911096582144 |
j-invariant |
L |
4.9149458963806 |
L(r)(E,1)/r! |
Ω |
0.13481483339939 |
Real period |
R |
4.5571264047453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346bg1 52038e1 |
Quadratic twists by: -3 -7 |