Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bh |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
638520019200 = 28 · 37 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4863,124738] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:126:1] [-51:490:1] |
Generators of the group modulo torsion |
j |
68150496976/3421425 |
j-invariant |
L |
8.9847739582702 |
L(r)(E,1)/r! |
Ω |
0.90003232147254 |
Real period |
R |
1.2478404586029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760w1 15960k1 |
Quadratic twists by: -4 -3 |