Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576j |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
546455808 = 28 · 34 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,972] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
6940769488/2134593 |
j-invariant |
L |
8.9805289659658 |
L(r)(E,1)/r! |
Ω |
1.521248402127 |
Real period |
R |
1.4758485453658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288a1 |
Quadratic twists by: -4 |