Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bf |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18895680000000 = -1 · 212 · 310 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3300,-196000] |
[a1,a2,a3,a4,a6] |
Generators |
[94:972:1] |
Generators of the group modulo torsion |
j |
85184/405 |
j-invariant |
L |
4.2042212402022 |
L(r)(E,1)/r! |
Ω |
0.34641637179043 |
Real period |
R |
1.517040468697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200f4 14400w1 2400a4 1440c4 |
Quadratic twists by: -4 8 -3 5 |