Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826d |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3386085767549568072 = 23 · 316 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3268501,2271336901] |
[a1,a2,a3,a4,a6] |
j |
82082047379525857/71974117512 |
j-invariant |
L |
0.49847508610442 |
L(r)(E,1)/r! |
Ω |
0.24923754305218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478cs4 1254i3 |
Quadratic twists by: -3 -19 |