Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ci |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4352321898938284362 = -1 · 2 · 33 · 7 · 1310 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,168743,96776627] |
[a1,a2,a3,a4,a6] |
Generators |
[228478:38501941:8] |
Generators of the group modulo torsion |
j |
110088190986983/901697560218 |
j-invariant |
L |
17.428269655353 |
L(r)(E,1)/r! |
Ω |
0.17950141002466 |
Real period |
R |
8.0910550981311 |
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 |
9282i4 |
Quadratic twists by: 13 |