Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3542i |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
5553856 = 26 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24347,-1464218] |
[a1,a2,a3,a4,a6] |
j |
1596005697643892137/5553856 |
j-invariant |
L |
2.2931981251917 |
L(r)(E,1)/r! |
Ω |
0.38219968753195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28336n2 113344bk2 31878bg2 88550bl2 |
Quadratic twists by: -4 8 -3 5 |