Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642v |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
-45088856064 = -1 · 211 · 35 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,881,-1387] |
[a1,a2,a3,a4,a6] |
Generators |
[43:322:1] |
Generators of the group modulo torsion |
j |
1543208288447/920180736 |
j-invariant |
L |
6.9723405022255 |
L(r)(E,1)/r! |
Ω |
0.66374437602436 |
Real period |
R |
0.47747985479179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136db1 37926s1 12642bd1 |
Quadratic twists by: -4 -3 -7 |