Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bw |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-27239719497046875 = -1 · 34 · 56 · 73 · 137 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-111258,16305644] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1775:1] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
4.865621853122 |
L(r)(E,1)/r! |
Ω |
0.36048708569961 |
Real period |
R |
0.28119487827238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3549a1 6825i1 |
Quadratic twists by: 5 13 |