Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446d |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-25203057984 = -1 · 26 · 313 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1818,-30348] |
[a1,a2,a3,a4,a6] |
j |
-911826451873/34572096 |
j-invariant |
L |
1.4589983229929 |
L(r)(E,1)/r! |
Ω |
0.36474958074822 |
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 |
35568bu1 1482i1 111150ep1 57798bs1 |
Quadratic twists by: -4 -3 5 13 |