Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840be |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-40608000000000 = -1 · 214 · 33 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,306594] |
[a1,a2,a3,a4,a6] |
Generators |
[63:750:1] |
Generators of the group modulo torsion |
j |
804357/367187500 |
j-invariant |
L |
7.0340267990074 |
L(r)(E,1)/r! |
Ω |
0.51119532130126 |
Real period |
R |
0.3822210907729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230i1 33840bb1 |
Quadratic twists by: -4 -3 |