Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598k |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
4.4785644756948E+21 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73949759,244715233477] |
[a1,a2,a3,a4,a6] |
Generators |
[135642:83603:27] |
Generators of the group modulo torsion |
j |
6411248924577274873/642018377728 |
j-invariant |
L |
4.1129712782984 |
L(r)(E,1)/r! |
Ω |
0.13205726526926 |
Real period |
R |
2.5954467996913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598a1 |
Quadratic twists by: 17 |