Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598d |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10340352 |
Modular degree for the optimal curve |
Δ |
9.3243057767609E+21 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ 6 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28273599,-57681057306] |
[a1,a2,a3,a4,a6] |
j |
358323755795002729/1336672878268 |
j-invariant |
L |
4.1911354013485 |
L(r)(E,1)/r! |
Ω |
0.065486490628048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598j1 |
Quadratic twists by: 17 |