Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104664d |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-5697070848 = -1 · 28 · 36 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,-3648] |
[a1,a2,a3,a4,a6] |
j |
-109744/64881 |
j-invariant |
L |
3.64527869939 |
L(r)(E,1)/r! |
Ω |
0.60754648752226 |
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 |
104664a1 |
Quadratic twists by: -7 |