Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17568h |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33332539392 = 212 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,-4736] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:72:1] |
Generators of the group modulo torsion |
j |
24897088/11163 |
j-invariant |
L |
5.063372687952 |
L(r)(E,1)/r! |
Ω |
0.91508163886076 |
Real period |
R |
1.383311737698 |
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 |
17568i2 35136cm1 5856e2 |
Quadratic twists by: -4 8 -3 |