Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290q |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
39224872890000 = 24 · 39 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1009170,-389954300] |
[a1,a2,a3,a4,a6] |
Generators |
[1448:33674:1] |
Generators of the group modulo torsion |
j |
155915546268841823521/53806410000 |
j-invariant |
L |
3.6790206280011 |
L(r)(E,1)/r! |
Ω |
0.1506289541146 |
Real period |
R |
3.05304900506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430w1 |
Quadratic twists by: -3 |