Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ez |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
430080000000 = 218 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,-92063] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2944:1] |
Generators of the group modulo torsion |
j |
1771561/105 |
j-invariant |
L |
4.134348970101 |
L(r)(E,1)/r! |
Ω |
0.60129750966323 |
Real period |
R |
3.4378563886092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ce1 8400cg1 100800nb1 6720bx1 |
Quadratic twists by: -4 8 -3 5 |