Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bk |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8686141440000 = 221 · 3 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6625,149375] |
[a1,a2,a3,a4,a6] |
Generators |
[115:960:1] |
Generators of the group modulo torsion |
j |
122689385209/33135000 |
j-invariant |
L |
5.9242585735937 |
L(r)(E,1)/r! |
Ω |
0.68466268686556 |
Real period |
R |
1.0816016936585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120ci2 1410b2 |
Quadratic twists by: -4 8 |