Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109980a |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
-2656612541700000000 = -1 · 28 · 39 · 58 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463813263,3844703550438] |
[a1,a2,a3,a4,a6] |
j |
-2189888205126073591295088/527226171875 |
j-invariant |
L |
0.60174772724945 |
L(r)(E,1)/r! |
Ω |
0.15043702430994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109980f1 |
Quadratic twists by: -3 |