Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160m |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-23128312320 = -1 · 29 · 312 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,664,3420] |
[a1,a2,a3,a4,a6] |
Generators |
[31:234:1] |
Generators of the group modulo torsion |
j |
63139882168/45172485 |
j-invariant |
L |
4.7426905905884 |
L(r)(E,1)/r! |
Ω |
0.76323233920056 |
Real period |
R |
2.0713179753171 |
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 |
8160a4 16320k4 24480r2 40800f2 |
Quadratic twists by: -4 8 -3 5 |