Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598bg |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
6448825800561075568 = 24 · 7 · 134 · 1710 |
Discriminant |
Eigenvalues |
2- 1 4 7- 4 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-920471,-317268487] |
[a1,a2,a3,a4,a6] |
j |
42782371921/3198832 |
j-invariant |
L |
9.9111651134202 |
L(r)(E,1)/r! |
Ω |
0.15486195489214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598x1 |
Quadratic twists by: 17 |