Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fx |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-23514624000000 = -1 · 215 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4767,-194337] |
[a1,a2,a3,a4,a6] |
Generators |
[63:600:1] |
Generators of the group modulo torsion |
j |
23393656/45927 |
j-invariant |
L |
6.8901613529781 |
L(r)(E,1)/r! |
Ω |
0.35227865068474 |
Real period |
R |
0.61121371352494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ew3 16800a4 100800ky3 1344n4 |
Quadratic twists by: -4 8 -3 5 |