Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bk |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10930626000 = 24 · 38 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6438,-198763] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:7:1] |
Generators of the group modulo torsion |
j |
2530050082816/937125 |
j-invariant |
L |
4.8410799377925 |
L(r)(E,1)/r! |
Ω |
0.53299295121476 |
Real period |
R |
2.2707054224444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680x1 14280h1 |
Quadratic twists by: -4 -3 |