Atkin-Lehner |
2- 3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142t |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
7465440672180288 = 26 · 311 · 72 · 19 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54422,2546003] |
[a1,a2,a3,a4,a6] |
j |
17825745627000938593/7465440672180288 |
j-invariant |
L |
4.532719874515 |
L(r)(E,1)/r! |
Ω |
0.37772665620958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426q1 |
Quadratic twists by: -3 |