Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550ct |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-7823658500 = -1 · 22 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1417473,649443437] |
[a1,a2,a3,a4,a6] |
j |
-21417553667311829/532 |
j-invariant |
L |
5.5187495080416 |
L(r)(E,1)/r! |
Ω |
0.68984368851996 |
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 |
46550bf1 6650bi1 |
Quadratic twists by: 5 -7 |