Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140i |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.2168434250913E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,974644,230634900] |
[a1,a2,a3,a4,a6] |
Generators |
[300842:-58360503:8] |
Generators of the group modulo torsion |
j |
399964404194098615856/320970446292628125 |
j-invariant |
L |
5.5081854388579 |
L(r)(E,1)/r! |
Ω |
0.12394101843567 |
Real period |
R |
11.110497372823 |
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 |
112560bm2 84420r2 |
Quadratic twists by: -4 -3 |