Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864f |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2203394588448768 = 211 · 314 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47312,-3238368] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:572:1] |
Generators of the group modulo torsion |
j |
5718957389087906/1075876263891 |
j-invariant |
L |
4.1422536616086 |
L(r)(E,1)/r! |
Ω |
0.32792566336717 |
Real period |
R |
1.0526404112128 |
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 |
3432h2 27456ca2 20592f2 75504b2 |
Quadratic twists by: -4 8 -3 -11 |