Atkin-Lehner |
2- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746k |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-342919611746816 = -1 · 29 · 13 · 616 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1709877,-860731231] |
[a1,a2,a3,a4,a6] |
Generators |
[328650:1517567:216] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
8.5589091031622 |
L(r)(E,1)/r! |
Ω |
0.066012825795796 |
Real period |
R |
7.2030691774773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26a2 |
Quadratic twists by: 61 |