Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576ck |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
476132416499482624 = 223 · 77 · 413 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249377,34657729] |
[a1,a2,a3,a4,a6] |
Generators |
[509:6272:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
4.5313958602855 |
L(r)(E,1)/r! |
Ω |
0.27535051497509 |
Real period |
R |
1.0285516938605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576p1 32144o1 18368w1 |
Quadratic twists by: -4 8 -7 |