Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290q |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.4292273109321E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5220,-1121054270] |
[a1,a2,a3,a4,a6] |
Generators |
[149787138813:3951448099429:111284641] |
Generators of the group modulo torsion |
j |
-21580151584321/744749974064758410 |
j-invariant |
L |
3.6790206280011 |
L(r)(E,1)/r! |
Ω |
0.0753144770573 |
Real period |
R |
12.21219602024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430w4 |
Quadratic twists by: -3 |