Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bk |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1440350208 = 217 · 33 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1875457,-989198497] |
[a1,a2,a3,a4,a6] |
Generators |
[-2147327181405:-45919216:2714704875] |
Generators of the group modulo torsion |
j |
5565899381416019714/10989 |
j-invariant |
L |
11.209378399676 |
L(r)(E,1)/r! |
Ω |
0.12900981652191 |
Real period |
R |
14.48129904882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144br4 9768n3 |
Quadratic twists by: -4 8 |