Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cr |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
1641147954703335000 = 23 · 35 · 54 · 136 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1798755,926354025] |
[a1,a2,a3,a4,a6] |
Generators |
[660:4845:1] |
Generators of the group modulo torsion |
j |
133345896593725369/340006815000 |
j-invariant |
L |
15.253257744682 |
L(r)(E,1)/r! |
Ω |
0.26722548033591 |
Real period |
R |
0.47566751794161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690e3 |
Quadratic twists by: 13 |