Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923g |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3383289 = 37 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222768,40525195] |
[a1,a2,a3,a4,a6] |
Generators |
[2254:943:8] |
Generators of the group modulo torsion |
j |
1677087406638588673/4641 |
j-invariant |
L |
4.1311157968877 |
L(r)(E,1)/r! |
Ω |
1.1723900676601 |
Real period |
R |
3.5236700743574 |
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 |
4641a3 97461k4 |
Quadratic twists by: -3 -7 |