Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990bm |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-73524213000 = -1 · 23 · 33 · 53 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13043,576731] |
[a1,a2,a3,a4,a6] |
j |
-9087851343747987/2723119000 |
j-invariant |
L |
2.1359736252422 |
L(r)(E,1)/r! |
Ω |
1.0679868126799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45990l2 |
Quadratic twists by: -3 |