Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15860c |
Isogeny class |
Conductor |
15860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1649440000 = -1 · 28 · 54 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,217,1518] |
[a1,a2,a3,a4,a6] |
Generators |
[114:693:8] |
Generators of the group modulo torsion |
j |
4414311216/6443125 |
j-invariant |
L |
4.7596365330062 |
L(r)(E,1)/r! |
Ω |
1.0154837238327 |
Real period |
R |
4.6870633386837 |
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 |
63440k2 79300f2 |
Quadratic twists by: -4 5 |