Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020bh |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4835128950000 = -1 · 24 · 39 · 55 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8517,320501] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:675:1] [-68:765:1] |
Generators of the group modulo torsion |
j |
-1192310528/84375 |
j-invariant |
L |
9.3622386369923 |
L(r)(E,1)/r! |
Ω |
0.75674457520959 |
Real period |
R |
0.10309773979772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340a1 52020v1 |
Quadratic twists by: -3 17 |