Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bp |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
43856640 = 28 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,898] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
3631696/235 |
j-invariant |
L |
4.2339645568193 |
L(r)(E,1)/r! |
Ω |
1.9903446393042 |
Real period |
R |
2.1272519709446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8460e1 3760o1 |
Quadratic twists by: -4 -3 |