Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488do |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4398840426698E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31532545,68386842719] |
[a1,a2,a3,a4,a6] |
Generators |
[1963:118560:1] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
5.8370204820621 |
L(r)(E,1)/r! |
Ω |
0.12565014752687 |
Real period |
R |
5.8068181504075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488gu4 3234s4 2112d4 |
Quadratic twists by: -4 8 -7 |