Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824n |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-505844175938256896 = -1 · 223 · 137 · 312 |
Discriminant |
Eigenvalues |
2- 1 1 1 2 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139200,27819572] |
[a1,a2,a3,a4,a6] |
j |
15087533111/25585664 |
j-invariant |
L |
3.2183389921749 |
L(r)(E,1)/r! |
Ω |
0.20114618399583 |
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 |
10478l1 6448f1 |
Quadratic twists by: -4 13 |