Atkin-Lehner |
5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43225a |
Isogeny class |
Conductor |
43225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-633921640625 = -1 · 57 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -2 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2124,7023] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:26:1] [21:-258:1] |
Generators of the group modulo torsion |
j |
67867385039/40570985 |
j-invariant |
L |
11.965335990185 |
L(r)(E,1)/r! |
Ω |
0.55789576644714 |
Real period |
R |
1.7872717315377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8645b1 |
Quadratic twists by: 5 |