Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728m |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-286126076627779584 = -1 · 221 · 3 · 711 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145536,-14389248] |
[a1,a2,a3,a4,a6] |
Generators |
[4544:307328:1] |
Generators of the group modulo torsion |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
4.2144256223308 |
L(r)(E,1)/r! |
Ω |
0.17030391015021 |
Real period |
R |
0.56242044250795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966j1 30912ci1 23184ca1 54096cy1 |
Quadratic twists by: -4 8 -3 -7 |