Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1666g |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15407422218272 = 25 · 78 · 174 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6298,36012] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:428:1] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
1.1160742783854 |
L(r)(E,1)/r! |
Ω |
0.60512732825565 |
Real period |
R |
0.46109067723093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13328v2 53312z2 14994cr2 41650bu2 |
Quadratic twists by: -4 8 -3 5 |