Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bg |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27414020505600 = 214 · 38 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29163,-1900262] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:126:1] |
Generators of the group modulo torsion |
j |
918613512361/9180900 |
j-invariant |
L |
3.5152082666136 |
L(r)(E,1)/r! |
Ω |
0.36555573089594 |
Real period |
R |
2.4040166576604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003145 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9090p2 24240bm2 |
Quadratic twists by: -4 -3 |