Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389f |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13548843 = 33 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30097,-2012218] |
[a1,a2,a3,a4,a6] |
Generators |
[206:632:1] |
Generators of the group modulo torsion |
j |
3015048057243061393/13548843 |
j-invariant |
L |
3.3122976209623 |
L(r)(E,1)/r! |
Ω |
0.36246717045941 |
Real period |
R |
3.0460667805806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224bo4 13167j4 109725a4 30723i4 |
Quadratic twists by: -4 -3 5 -7 |