Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81356b |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2153915959864064 = -1 · 28 · 113 · 436 |
Discriminant |
Eigenvalues |
2- -1 3 -2 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142989,20978617] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:3698:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
4.9269265966838 |
L(r)(E,1)/r! |
Ω |
0.46574126613882 |
Real period |
R |
1.7631128957486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44a2 |
Quadratic twists by: -43 |