Atkin-Lehner |
2- 3+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44892a |
Isogeny class |
Conductor |
44892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
8619264 = 28 · 33 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -1 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [-3:1:1] |
Generators of the group modulo torsion |
j |
5971968/1247 |
j-invariant |
L |
8.8408851294243 |
L(r)(E,1)/r! |
Ω |
1.6630885007628 |
Real period |
R |
0.88599064585462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44892c1 |
Quadratic twists by: -3 |