Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560b |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
90567680 = 210 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301,-2061] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:7:1] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
2.7768355029239 |
L(r)(E,1)/r! |
Ω |
1.1479761902209 |
Real period |
R |
1.2094482126809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560cr1 5320g1 |
Quadratic twists by: -4 8 |