Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4576c |
Isogeny class |
Conductor |
4576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-1286844416 = -1 · 212 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3 1 -4 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,248,848] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:676:27] |
Generators of the group modulo torsion |
j |
411830784/314171 |
j-invariant |
L |
5.6940134034771 |
L(r)(E,1)/r! |
Ω |
0.97944441045546 |
Real period |
R |
1.4533784007275 |
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 |
4576g1 9152p1 41184bd1 114400y1 |
Quadratic twists by: -4 8 -3 5 |