Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020h |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15472412640000 = 28 · 39 · 54 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1529847,728316414] |
[a1,a2,a3,a4,a6] |
Generators |
[-1122:32130:1] |
Generators of the group modulo torsion |
j |
15995200479984/625 |
j-invariant |
L |
6.7730008254104 |
L(r)(E,1)/r! |
Ω |
0.51777995742174 |
Real period |
R |
3.2702119540905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52020a2 52020b2 |
Quadratic twists by: -3 17 |