Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1200j |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
960000000 = 212 · 3 · 57 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32008,-2193488] |
[a1,a2,a3,a4,a6] |
j |
56667352321/15 |
j-invariant |
L |
1.4277224468968 |
L(r)(E,1)/r! |
Ω |
0.3569306117242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75b4 4800cd3 3600bf4 240d3 |
Quadratic twists by: -4 8 -3 5 |