Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020n |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-186733213847236080 = -1 · 24 · 39 · 5 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -5 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-928557,-345025251] |
[a1,a2,a3,a4,a6] |
Generators |
[143055:1193859:125] |
Generators of the group modulo torsion |
j |
-2370816/5 |
j-invariant |
L |
3.9656262420127 |
L(r)(E,1)/r! |
Ω |
0.076888703006699 |
Real period |
R |
4.2980157106866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52020g1 52020f1 |
Quadratic twists by: -3 17 |