Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094bz |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
70267799863296 = 222 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-570548,166019095] |
[a1,a2,a3,a4,a6] |
Generators |
[485:1549:1] |
Generators of the group modulo torsion |
j |
82144390611546927/281018368 |
j-invariant |
L |
8.4633260981166 |
L(r)(E,1)/r! |
Ω |
0.53893034886448 |
Real period |
R |
0.35690756849879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566h1 59094by1 |
Quadratic twists by: -3 -7 |