Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040p |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3137149440000 = -1 · 212 · 36 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252,-528896] |
[a1,a2,a3,a4,a6] |
Generators |
[533:12015:1] |
Generators of the group modulo torsion |
j |
-68117264704/1050625 |
j-invariant |
L |
7.4104265838456 |
L(r)(E,1)/r! |
Ω |
0.22668342811273 |
Real period |
R |
4.0863301330714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040t2 118080dw1 6560l2 |
Quadratic twists by: -4 8 -3 |