Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bw |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
996859828125000000 = 26 · 33 · 512 · 73 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-432287,98394311] |
[a1,a2,a3,a4,a6] |
j |
330883820934935874003/36920734375000000 |
j-invariant |
L |
6.4551218614271 |
L(r)(E,1)/r! |
Ω |
0.26896341088122 |
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 |
52290d4 |
Quadratic twists by: -3 |