Atkin-Lehner |
2- 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870be |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1582080 |
Modular degree for the optimal curve |
Δ |
-772212689044341750 = -1 · 2 · 310 · 53 · 17 · 795 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-336182,-86034261] |
[a1,a2,a3,a4,a6] |
j |
-5763925281212189209/1059276665355750 |
j-invariant |
L |
4.7114494412071 |
L(r)(E,1)/r! |
Ω |
0.098155221392164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290b1 |
Quadratic twists by: -3 |