Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.8661200782086E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88173680,1108169476800] |
[a1,a2,a3,a4,a6] |
Generators |
[-8879822840:2012654916000:1685159] |
Generators of the group modulo torsion |
j |
-18508902577171306222471921/118801759721890483665900 |
j-invariant |
L |
5.8798326070165 |
L(r)(E,1)/r! |
Ω |
0.045189330321027 |
Real period |
R |
16.26443831194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bg4 |
Quadratic twists by: -4 |