Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640by |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6051657497760000 = 28 · 38 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104223,-12398078] |
[a1,a2,a3,a4,a6] |
j |
5702413264/275625 |
j-invariant |
L |
2.1320557268522 |
L(r)(E,1)/r! |
Ω |
0.26650696585652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280z2 5880l2 88200bw2 2520t2 |
Quadratic twists by: -4 -3 5 -7 |