Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2064i |
Isogeny class |
Conductor |
2064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5521084416 = 212 · 36 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,1840] |
[a1,a2,a3,a4,a6] |
Generators |
[2:30:1] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
2.8923271070208 |
L(r)(E,1)/r! |
Ω |
1.2083485241606 |
Real period |
R |
2.3936199276861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129b1 8256bm2 6192x2 51600cq2 |
Quadratic twists by: -4 8 -3 5 |