Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584ba |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
932329736128 = 26 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22099,1263612] |
[a1,a2,a3,a4,a6] |
Generators |
[-1022:11319:8] |
Generators of the group modulo torsion |
j |
158516094528/123823 |
j-invariant |
L |
5.958907494226 |
L(r)(E,1)/r! |
Ω |
0.87637885865998 |
Real period |
R |
3.3997325672412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59584q1 29792i2 8512c1 |
Quadratic twists by: -4 8 -7 |