Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158n |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-490302963287064 = -1 · 23 · 310 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8221,-1028037] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1176:1] |
Generators of the group modulo torsion |
j |
84298462406423/672569222616 |
j-invariant |
L |
7.5071453449468 |
L(r)(E,1)/r! |
Ω |
0.2601070010898 |
Real period |
R |
4.8102930162671 |
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 |
105264bk2 4386e2 |
Quadratic twists by: -4 -3 |