Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-2.556751785984E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6885680,-10368321600] |
[a1,a2,a3,a4,a6] |
Generators |
[1305080:46656000:343] |
Generators of the group modulo torsion |
j |
-8814635019030000319921/6242069790000000000 |
j-invariant |
L |
5.8798326070165 |
L(r)(E,1)/r! |
Ω |
0.045189330321027 |
Real period |
R |
3.2528876623879 |
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 |
10230bg2 |
Quadratic twists by: -4 |