Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644k |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
79401168 = 24 · 33 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,-1576] |
[a1,a2,a3,a4,a6] |
Generators |
[20:42:1] |
Generators of the group modulo torsion |
j |
112377856000/4962573 |
j-invariant |
L |
6.0373774647213 |
L(r)(E,1)/r! |
Ω |
1.1999433900275 |
Real period |
R |
1.6771284142505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576bn1 85932y1 |
Quadratic twists by: -4 -3 |