Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688bi |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-417166412544 = -1 · 28 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2809,64259] |
[a1,a2,a3,a4,a6] |
j |
-81415168/13851 |
j-invariant |
L |
5.4559557146583 |
L(r)(E,1)/r! |
Ω |
0.90932595245529 |
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 |
22344e1 912a1 |
Quadratic twists by: -4 -7 |