Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718m |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-71784303448 = -1 · 23 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 2 -4 -2 11+ 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,13801] |
[a1,a2,a3,a4,a6] |
j |
-28561/88 |
j-invariant |
L |
2.8839420645787 |
L(r)(E,1)/r! |
Ω |
0.96131402152623 |
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 |
29744bg1 118976bn1 33462bm1 92950g1 |
Quadratic twists by: -4 8 -3 5 |