Atkin-Lehner |
3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109l |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-1022977698039077859 = -1 · 39 · 1311 · 29 |
Discriminant |
Eigenvalues |
2 3+ 3 0 6 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-488241,140037329] |
[a1,a2,a3,a4,a6] |
j |
-135479955456/10767497 |
j-invariant |
L |
8.69552487248 |
L(r)(E,1)/r! |
Ω |
0.27173515226068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109f1 3393d1 |
Quadratic twists by: -3 13 |