Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160a |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18717736960000 = -1 · 220 · 54 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4268,-234192] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2240:1] |
Generators of the group modulo torsion |
j |
-32798729601/71402500 |
j-invariant |
L |
3.3187404727972 |
L(r)(E,1)/r! |
Ω |
0.27660492658821 |
Real period |
R |
2.9995312391326 |
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 |
4160j4 130b4 37440by3 20800t4 |
Quadratic twists by: -4 8 -3 5 |