Atkin-Lehner |
2- 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576y |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
47711240205631488 = 222 · 34 · 192 · 733 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100488,-6349068] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:2052:1] |
Generators of the group modulo torsion |
j |
27397484746719625/11648252003328 |
j-invariant |
L |
7.3363387111824 |
L(r)(E,1)/r! |
Ω |
0.27858356846683 |
Real period |
R |
3.2918034036762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322b1 |
Quadratic twists by: -4 |