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 |
-4065245634459375000 = -1 · 23 · 37 · 58 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-542817,182084341] |
[a1,a2,a3,a4,a6] |
Generators |
[39:12668:1] |
Generators of the group modulo torsion |
j |
-1552876541267401/356893992600 |
j-invariant |
L |
4.1265393313133 |
L(r)(E,1)/r! |
Ω |
0.2358635351829 |
Real period |
R |
1.4579543944458 |
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 |
104400fa4 4350p4 2610l4 |
Quadratic twists by: -4 -3 5 |