Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640ce |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.893903164788E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1118523,-642800522] |
[a1,a2,a3,a4,a6] |
j |
-2568731006/1476225 |
j-invariant |
L |
2.5742214232076 |
L(r)(E,1)/r! |
Ω |
0.071506150644654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280bk2 5880n2 88200ci2 17640cq2 |
Quadratic twists by: -4 -3 5 -7 |