Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389f |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1560329001 = 36 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1882,-31525] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
737219801902753/1560329001 |
j-invariant |
L |
3.3122976209623 |
L(r)(E,1)/r! |
Ω |
0.72493434091882 |
Real period |
R |
1.5230333902903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224bo2 13167j2 109725a2 30723i2 |
Quadratic twists by: -4 -3 5 -7 |