Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bj |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
17702722207744 = 219 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,182113] |
[a1,a2,a3,a4,a6] |
Generators |
[19:196:1] |
Generators of the group modulo torsion |
j |
1771561/574 |
j-invariant |
L |
6.5358684390767 |
L(r)(E,1)/r! |
Ω |
0.63802849085472 |
Real period |
R |
1.2804813026389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cq1 4018e1 18368a1 |
Quadratic twists by: -4 8 -7 |