Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036n |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
524546169939792 = 24 · 36 · 7 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21360,479113] |
[a1,a2,a3,a4,a6] |
j |
92401696768000/44971379453 |
j-invariant |
L |
1.3897758332953 |
L(r)(E,1)/r! |
Ω |
0.46325861109631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4004b3 |
Quadratic twists by: -3 |