Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150be |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
21328498800 = 24 · 311 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1786,28028] |
[a1,a2,a3,a4,a6] |
Generators |
[1:161:1] |
Generators of the group modulo torsion |
j |
25181318671105/853139952 |
j-invariant |
L |
4.9917419581935 |
L(r)(E,1)/r! |
Ω |
1.2025996276867 |
Real period |
R |
0.18867240311123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150co1 |
Quadratic twists by: 5 |