Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cm |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
825452199936 = 216 · 32 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37857,2822175] |
[a1,a2,a3,a4,a6] |
Generators |
[138:495:1] |
Generators of the group modulo torsion |
j |
91557481657828/12595401 |
j-invariant |
L |
6.3930278477561 |
L(r)(E,1)/r! |
Ω |
0.86063015669614 |
Real period |
R |
3.7141551443527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472h3 4368d3 52416et4 122304gh4 |
Quadratic twists by: -4 8 -3 -7 |