Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140p |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-8981376045318432000 = -1 · 28 · 312 · 53 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5583716,5078658084] |
[a1,a2,a3,a4,a6] |
Generators |
[-1028:98658:1] |
Generators of the group modulo torsion |
j |
-75206224644465874575184/35083500177025125 |
j-invariant |
L |
5.9908042720194 |
L(r)(E,1)/r! |
Ω |
0.22786907296954 |
Real period |
R |
2.1908795381007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
112560bf2 84420bd2 |
Quadratic twists by: -4 -3 |