Atkin-Lehner |
2+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5056f |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-82837504 = -1 · 220 · 79 |
Discriminant |
Eigenvalues |
2+ -2 2 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,415] |
[a1,a2,a3,a4,a6] |
Generators |
[13:60:1] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
3.1325416847484 |
L(r)(E,1)/r! |
Ω |
1.355110235392 |
Real period |
R |
2.3116508184608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5056v1 158e1 45504p1 126400k1 |
Quadratic twists by: -4 8 -3 5 |