Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676c |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10645039872 = 28 · 33 · 172 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4551,-118066] |
[a1,a2,a3,a4,a6] |
Generators |
[6850:199801:8] |
Generators of the group modulo torsion |
j |
1508135938416/1540081 |
j-invariant |
L |
5.3729418637344 |
L(r)(E,1)/r! |
Ω |
0.58129886185445 |
Real period |
R |
4.6214969754021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44676g2 |
Quadratic twists by: -3 |