Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140p |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
4188287250000 = 24 · 36 · 56 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5584341,5077464084] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:91500:1] |
Generators of the group modulo torsion |
j |
1203703704970904882642944/261767953125 |
j-invariant |
L |
5.9908042720194 |
L(r)(E,1)/r! |
Ω |
0.45573814593908 |
Real period |
R |
4.3817590762015 |
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 |
112560bf1 84420bd1 |
Quadratic twists by: -4 -3 |