Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110cq |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
770 |
Product of Tamagawa factors cp |
deg |
45337600 |
Modular degree for the optimal curve |
Δ |
-2.7326853439309E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85150247,2533225841471] |
[a1,a2,a3,a4,a6] |
Generators |
[4461:1495144:1] |
Generators of the group modulo torsion |
j |
-93659948635834293690161449/3748539566434738927500000 |
j-invariant |
L |
9.572345121092 |
L(r)(E,1)/r! |
Ω |
0.037765504606124 |
Real period |
R |
0.32917915874999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370k1 |
Quadratic twists by: -3 |