Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
882a |
Isogeny class |
Conductor |
882 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-1245197016 = -1 · 23 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4566,119916] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-15:1] |
Generators of the group modulo torsion |
j |
-67645179/8 |
j-invariant |
L |
1.6179112815341 |
L(r)(E,1)/r! |
Ω |
1.4743501869072 |
Real period |
R |
1.6460586798528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7056be1 28224e1 882f2 22050cy1 |
Quadratic twists by: -4 8 -3 5 |