Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120bc |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
59443316100000000 = 28 · 38 · 58 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97700,-781152] |
[a1,a2,a3,a4,a6] |
j |
402876451435348816/232200453515625 |
j-invariant |
L |
4.707307808575 |
L(r)(E,1)/r! |
Ω |
0.29420673803688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
72240m2 108360k2 |
Quadratic twists by: -4 -3 |