Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598bc |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-28613312 = -1 · 26 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -3 2 7- 5 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114,561] |
[a1,a2,a3,a4,a6] |
Generators |
[13:27:1] |
Generators of the group modulo torsion |
j |
-33076161/5824 |
j-invariant |
L |
7.4900751504158 |
L(r)(E,1)/r! |
Ω |
2.0197326832479 |
Real period |
R |
0.30903739607008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598p1 |
Quadratic twists by: 17 |