Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923g |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-68837808825513 = -1 · 310 · 74 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13158,708169] |
[a1,a2,a3,a4,a6] |
Generators |
[24:625:1] |
Generators of the group modulo torsion |
j |
-345608484635233/94427721297 |
j-invariant |
L |
4.1311157968877 |
L(r)(E,1)/r! |
Ω |
0.58619503383004 |
Real period |
R |
0.88091751858935 |
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 |
4641a4 97461k3 |
Quadratic twists by: -3 -7 |