Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050o |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
800081145000000 = 26 · 38 · 57 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-569817,165695341] |
[a1,a2,a3,a4,a6] |
Generators |
[425:179:1] |
Generators of the group modulo torsion |
j |
1796316223281481/70240320 |
j-invariant |
L |
4.1265393313133 |
L(r)(E,1)/r! |
Ω |
0.4717270703658 |
Real period |
R |
0.72897719722292 |
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 |
104400fa3 4350p3 2610l3 |
Quadratic twists by: -4 -3 5 |