Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cb |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-40414280244663600 = -1 · 24 · 34 · 52 · 119 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,84879,1727001] |
[a1,a2,a3,a4,a6] |
Generators |
[66:2727:1] |
Generators of the group modulo torsion |
j |
28680715981/17139600 |
j-invariant |
L |
13.650426362723 |
L(r)(E,1)/r! |
Ω |
0.22188339238759 |
Real period |
R |
1.9225225429977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490s2 |
Quadratic twists by: -11 |