Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4816c |
Isogeny class |
Conductor |
4816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4315136 = 211 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1832,30800] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:210:1] |
Generators of the group modulo torsion |
j |
332205796946/2107 |
j-invariant |
L |
5.5091296207268 |
L(r)(E,1)/r! |
Ω |
2.1921920212502 |
Real period |
R |
2.5130689133632 |
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 |
2408a2 19264q2 43344n2 120400c2 |
Quadratic twists by: -4 8 -3 5 |