Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640ck |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7561421280000 = -1 · 28 · 39 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716772,-233571436] |
[a1,a2,a3,a4,a6] |
j |
-90888126966784/16875 |
j-invariant |
L |
2.625271806449 |
L(r)(E,1)/r! |
Ω |
0.082039743951532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280bz1 5880a1 88200bg1 17640cc1 |
Quadratic twists by: -4 -3 5 -7 |