Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840h |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2571305472000 = -1 · 212 · 36 · 53 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2321,89121] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:324:1] |
Generators of the group modulo torsion |
j |
-337735169344/627760125 |
j-invariant |
L |
4.0992418819078 |
L(r)(E,1)/r! |
Ω |
0.72443167825819 |
Real period |
R |
1.414640608955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840e2 79680x1 119520j2 |
Quadratic twists by: -4 8 -3 |