Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450b |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3539270629883E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23583,177022241] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:11968:1] |
Generators of the group modulo torsion |
j |
4716275733/44023437500 |
j-invariant |
L |
3.6510691845568 |
L(r)(E,1)/r! |
Ω |
0.17616002857953 |
Real period |
R |
2.5907332763633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cl2 14490bj2 |
Quadratic twists by: -3 5 |