Atkin-Lehner |
2+ 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
36816i |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
4197447173117952 = 211 · 310 · 132 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8761784,-9985365708] |
[a1,a2,a3,a4,a6] |
j |
36322140746696723363954/2049534752499 |
j-invariant |
L |
2.6325260117666 |
L(r)(E,1)/r! |
Ω |
0.087750867059097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18408c2 110448o2 |
Quadratic twists by: -4 -3 |