Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040x |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
911490278400 = 210 · 36 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15920,766500] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-234:1] |
Generators of the group modulo torsion |
j |
435792975088324/890127225 |
j-invariant |
L |
5.9619154643645 |
L(r)(E,1)/r! |
Ω |
0.88623589103282 |
Real period |
R |
0.56060276244646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520b2 |
Quadratic twists by: -4 |