Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848v |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
10146682241024 = 218 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7464,197744] |
[a1,a2,a3,a4,a6] |
j |
95443993/21056 |
j-invariant |
L |
1.365956069656 |
L(r)(E,1)/r! |
Ω |
0.68297803482025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606c1 5264k1 |
Quadratic twists by: -4 -7 |