Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020w |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
23930951409360 = 24 · 36 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72828,-7561107] |
[a1,a2,a3,a4,a6] |
Generators |
[120309:1087218:343] |
Generators of the group modulo torsion |
j |
151732224/85 |
j-invariant |
L |
6.3697909824201 |
L(r)(E,1)/r! |
Ω |
0.29062941077562 |
Real period |
R |
5.4793069336848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5780d1 3060l1 |
Quadratic twists by: -3 17 |