Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322i |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10501508475089424 = 24 · 32 · 1310 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116107,-14417050] |
[a1,a2,a3,a4,a6] |
j |
35861911358833/2175662736 |
j-invariant |
L |
2.0769245669609 |
L(r)(E,1)/r! |
Ω |
0.25961557087011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69966bg2 1794j2 |
Quadratic twists by: -3 13 |