Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066u |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-3775240595782656 = -1 · 210 · 33 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29158,2253260] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-2024:1] |
Generators of the group modulo torsion |
j |
1547612421263/2131024896 |
j-invariant |
L |
4.1574481018808 |
L(r)(E,1)/r! |
Ω |
0.29855115184398 |
Real period |
R |
1.1604510863002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006be1 |
Quadratic twists by: -11 |