Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742k |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-255964831758365202 = -1 · 2 · 310 · 114 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57231,-24891161] |
[a1,a2,a3,a4,a6] |
Generators |
[26436275:1060189124:15625] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
6.2554742175591 |
L(r)(E,1)/r! |
Ω |
0.13268838800345 |
Real period |
R |
11.786024206705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914w3 198a4 |
Quadratic twists by: -3 -23 |