Atkin-Lehner |
2+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81344b |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4825193888841728 = 215 · 31 · 416 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 -6 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93217,10401183] |
[a1,a2,a3,a4,a6] |
Generators |
[49:2440:1] |
Generators of the group modulo torsion |
j |
2733781510651976/147253231471 |
j-invariant |
L |
4.1587860818265 |
L(r)(E,1)/r! |
Ω |
0.4270435280797 |
Real period |
R |
4.8692765596918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344e2 40672c2 |
Quadratic twists by: -4 8 |