Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120n |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-275415040 = -1 · 215 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-161] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] [5:28:1] |
Generators of the group modulo torsion |
j |
13481272/8405 |
j-invariant |
L |
4.1884319680006 |
L(r)(E,1)/r! |
Ω |
1.0020895905234 |
Real period |
R |
4.1796981104381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120m2 6560n2 118080cj2 65600w2 |
Quadratic twists by: -4 8 -3 5 |