Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665x |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1048458171630276225 = 316 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-475628,116365862] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:12058:1] |
Generators of the group modulo torsion |
j |
138742439989609/12224619225 |
j-invariant |
L |
2.9651655892089 |
L(r)(E,1)/r! |
Ω |
0.26964620278656 |
Real period |
R |
2.7491260386448 |
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 |
9555u2 4095l2 |
Quadratic twists by: -3 -7 |