Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bf |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.0680715253093E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1710721044,27235225055808] |
[a1,a2,a3,a4,a6] |
Generators |
[26052:577464:1] |
Generators of the group modulo torsion |
j |
-759510491350220163891402355009/14651186904105468750000 |
j-invariant |
L |
4.3712158927702 |
L(r)(E,1)/r! |
Ω |
0.066367776667193 |
Real period |
R |
1.3721568264003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bh2 |
Quadratic twists by: -3 |