Atkin-Lehner |
2- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936n |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.1316797798974E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11+ -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-700672,157602816] |
[a1,a2,a3,a4,a6] |
Generators |
[864:14016:1] |
Generators of the group modulo torsion |
j |
9287710548426438913/2762890087640144 |
j-invariant |
L |
5.066124803071 |
L(r)(E,1)/r! |
Ω |
0.21058461916466 |
Real period |
R |
2.0047858578592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242i2 |
Quadratic twists by: -4 |