Atkin-Lehner |
2+ 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966q |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
47360 |
Modular degree for the optimal curve |
Δ |
-50136423876 = -1 · 22 · 37 · 75 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1566,26568] |
[a1,a2,a3,a4,a6] |
Generators |
[36:108:1] [22:-60:1] |
Generators of the group modulo torsion |
j |
-582810602977/68774244 |
j-invariant |
L |
5.9261898868126 |
L(r)(E,1)/r! |
Ω |
1.0950950680625 |
Real period |
R |
0.13528939312316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14322m1 |
Quadratic twists by: -3 |