Atkin-Lehner |
5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18605a |
Isogeny class |
Conductor |
18605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3546578125 = -1 · 56 · 613 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,166,2757] |
[a1,a2,a3,a4,a6] |
Generators |
[5:58:1] [-460:2417:64] |
Generators of the group modulo torsion |
j |
2248091/15625 |
j-invariant |
L |
6.1039029902374 |
L(r)(E,1)/r! |
Ω |
1.0216916211638 |
Real period |
R |
5.9743105099415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93025e2 18605b2 |
Quadratic twists by: 5 61 |