Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392b |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
655781237250048 = 211 · 36 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-478348472,-4026683578932] |
[a1,a2,a3,a4,a6] |
Generators |
[-17081214014360922717792668735803736648847017285868556395:-60080562098503678419997208013737349693347135135454:1352753150407202364189822649146373642760986446365125] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
5.2332243518319 |
L(r)(E,1)/r! |
Ω |
0.032282224756355 |
Real period |
R |
81.054270443391 |
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 |
56784u6 85176bw6 2184j5 |
Quadratic twists by: -4 -3 13 |