Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576v |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
460816384 = 215 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -4 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,-7391] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7:1] [-15:8:1] |
Generators of the group modulo torsion |
j |
3944312/41 |
j-invariant |
L |
6.9287170626649 |
L(r)(E,1)/r! |
Ω |
0.91676125364122 |
Real period |
R |
0.94472757107776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576q1 64288c1 128576bg1 |
Quadratic twists by: -4 8 -7 |