Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160a |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68157440 = 220 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88748,-10176208] |
[a1,a2,a3,a4,a6] |
Generators |
[2215304:177841140:343] |
Generators of the group modulo torsion |
j |
294889639316481/260 |
j-invariant |
L |
3.3187404727972 |
L(r)(E,1)/r! |
Ω |
0.27660492658821 |
Real period |
R |
11.99812495653 |
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 |
4160j3 130b3 37440by4 20800t3 |
Quadratic twists by: -4 8 -3 5 |