Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ci |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2722259987813737098 = 2 · 312 · 74 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-524157,-122652297] |
[a1,a2,a3,a4,a6] |
Generators |
[-2202:8199:8] |
Generators of the group modulo torsion |
j |
3299497626614617/563987509722 |
j-invariant |
L |
17.428269655353 |
L(r)(E,1)/r! |
Ω |
0.17950141002466 |
Real period |
R |
2.0227637745328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282i3 |
Quadratic twists by: 13 |