Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200f |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87480000000 = 29 · 37 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36075,2637250] |
[a1,a2,a3,a4,a6] |
j |
890277128/15 |
j-invariant |
L |
1.9736804249359 |
L(r)(E,1)/r! |
Ω |
0.98684021246795 |
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 |
7200bf2 14400v4 2400ba2 1440j3 |
Quadratic twists by: -4 8 -3 5 |