Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442n |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7.3586188252798E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2172837,-1161830720] |
[a1,a2,a3,a4,a6] |
Generators |
[-1009:2394:1] [-910:8334:1] |
Generators of the group modulo torsion |
j |
235041610922990353/15245307666576 |
j-invariant |
L |
9.3868619432157 |
L(r)(E,1)/r! |
Ω |
0.12485529540587 |
Real period |
R |
6.2651607423511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8034j2 |
Quadratic twists by: 13 |