Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bo |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
4490919936000 = 220 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831243,291702458] |
[a1,a2,a3,a4,a6] |
Generators |
[311:7954:1] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
6.054565569799 |
L(r)(E,1)/r! |
Ω |
0.58815786505702 |
Real period |
R |
5.147058238533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230bb1 3760p1 |
Quadratic twists by: -4 -3 |