Atkin-Lehner |
2+ 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158c |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-115106184 = -1 · 23 · 39 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99888,-12126232] |
[a1,a2,a3,a4,a6] |
Generators |
[35682853850:-957849202309:42875000] |
Generators of the group modulo torsion |
j |
-5599829680075539/5848 |
j-invariant |
L |
4.5626410963116 |
L(r)(E,1)/r! |
Ω |
0.13427372146771 |
Real period |
R |
16.99007462681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264z2 13158m1 |
Quadratic twists by: -4 -3 |