Atkin-Lehner |
2- 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
68328h |
Isogeny class |
Conductor |
68328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-5200954151113184256 = -1 · 210 · 38 · 139 · 73 |
Discriminant |
Eigenvalues |
2- 3- 1 2 2 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27147,-109737002] |
[a1,a2,a3,a4,a6] |
j |
-2963887778596/6967156088061 |
j-invariant |
L |
3.9474037079641 |
L(r)(E,1)/r! |
Ω |
0.10965010317221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22776d1 |
Quadratic twists by: -3 |