Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ed |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
112896000000 = 214 · 32 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,-3663] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:96:1] [-19:112:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
7.3071913369525 |
L(r)(E,1)/r! |
Ω |
0.85954684458567 |
Real period |
R |
2.1253034034675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cr2 8400r2 100800lb2 1344t2 |
Quadratic twists by: -4 8 -3 5 |