Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360m |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
312262827321600 = 28 · 314 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-490863,132366962] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:16038:1] |
Generators of the group modulo torsion |
j |
70086941838912976/1673219025 |
j-invariant |
L |
5.1474162306501 |
L(r)(E,1)/r! |
Ω |
0.50381284041183 |
Real period |
R |
2.554230369775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72720e2 12120e2 |
Quadratic twists by: -4 -3 |