Atkin-Lehner |
2- 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270bc |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
-13650709699440000 = -1 · 27 · 37 · 54 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22973,5784581] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-2468:1] [-165:2332:1] |
Generators of the group modulo torsion |
j |
-1839211180826761/18725253360000 |
j-invariant |
L |
13.423132821831 |
L(r)(E,1)/r! |
Ω |
0.33861040130194 |
Real period |
R |
0.35394482784526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090j2 |
Quadratic twists by: -3 |