Atkin-Lehner |
3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94221d |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160704 |
Modular degree for the optimal curve |
Δ |
206061327 = 39 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -4 2 -2 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22412,1297000] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1631:1] [85:-16:1] |
Generators of the group modulo torsion |
j |
175205966787/29 |
j-invariant |
L |
5.7201343793595 |
L(r)(E,1)/r! |
Ω |
1.3986424208215 |
Real period |
R |
2.0448880621224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94221e1 94221b1 |
Quadratic twists by: -3 -19 |