Atkin-Lehner |
3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025m |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
2536749140625 = 38 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13563,601992] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:954:1] |
Generators of the group modulo torsion |
j |
17659279186921/162351945 |
j-invariant |
L |
5.0785264609561 |
L(r)(E,1)/r! |
Ω |
0.81650654516177 |
Real period |
R |
1.5549558331934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605d1 |
Quadratic twists by: 5 |