Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bi |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1359955002421E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1739295,534341731] |
[a1,a2,a3,a4,a6] |
Generators |
[-1069:34757:1] [-55:25124:1] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
7.7285830395595 |
L(r)(E,1)/r! |
Ω |
0.16246862453117 |
Real period |
R |
5.946211969677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cn3 8190by4 |
Quadratic twists by: -3 13 |