Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112t |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-665127936 = -1 · 210 · 310 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309,-2331] |
[a1,a2,a3,a4,a6] |
j |
-3196715008/649539 |
j-invariant |
L |
0.56304323142021 |
L(r)(E,1)/r! |
Ω |
0.56304323142021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2112q1 528i1 6336ch1 52800gd1 |
Quadratic twists by: -4 8 -3 5 |