Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cg |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-285772800 = -1 · 210 · 3 · 52 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,-819] |
[a1,a2,a3,a4,a6] |
j |
702464/279075 |
j-invariant |
L |
1.6247713658597 |
L(r)(E,1)/r! |
Ω |
0.81238568408755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bd1 14640p1 |
Quadratic twists by: -4 8 |