Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11844g |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-179439872355072 = -1 · 28 · 39 · 73 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168778200,843961508836] |
[a1,a2,a3,a4,a6] |
Generators |
[4304:444150:1] |
Generators of the group modulo torsion |
j |
-2849084113585289344000000/961504803 |
j-invariant |
L |
4.7246769364404 |
L(r)(E,1)/r! |
Ω |
0.23749027675593 |
Real period |
R |
1.6578492535142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47376bc2 3948e2 82908q2 |
Quadratic twists by: -4 -3 -7 |