Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584y |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-249913409536 = -1 · 228 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 5 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,25648] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:167:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
6.9085235807801 |
L(r)(E,1)/r! |
Ω |
0.85877061742766 |
Real period |
R |
4.0223334618021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584ce1 1862e1 59584a1 |
Quadratic twists by: -4 8 -7 |