Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450db |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
320143219344000 = 27 · 36 · 53 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18148,378512] |
[a1,a2,a3,a4,a6] |
Generators |
[2:584:1] |
Generators of the group modulo torsion |
j |
5288122493795861/2561145754752 |
j-invariant |
L |
12.593466704943 |
L(r)(E,1)/r! |
Ω |
0.48304259368882 |
Real period |
R |
0.15518530315547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450s2 |
Quadratic twists by: 5 |