Atkin-Lehner |
2+ 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
11952b |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-2294784 = -1 · 210 · 33 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -1 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,-158] |
[a1,a2,a3,a4,a6] |
j |
-530604/83 |
j-invariant |
L |
3.5425284727944 |
L(r)(E,1)/r! |
Ω |
0.88563211819861 |
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 |
5976a1 47808bf1 11952a1 |
Quadratic twists by: -4 8 -3 |