Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005d |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.0403904121364E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -6 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7163913,-7370658108] |
[a1,a2,a3,a4,a6] |
Generators |
[-1504:2902:1] |
Generators of the group modulo torsion |
j |
3834286365440413/7582055625 |
j-invariant |
L |
1.1259924297315 |
L(r)(E,1)/r! |
Ω |
0.092291894937096 |
Real period |
R |
3.0500848613529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998529177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109005i2 |
Quadratic twists by: 13 |