Atkin-Lehner |
2+ 3+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526c |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6168960 |
Modular degree for the optimal curve |
Δ |
-6.4178510249335E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3008919,3288678605] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:53677:1] |
Generators of the group modulo torsion |
j |
153060747013388638269/326060611946020864 |
j-invariant |
L |
5.0144513357591 |
L(r)(E,1)/r! |
Ω |
0.092703617378492 |
Real period |
R |
1.9318291226287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526o1 |
Quadratic twists by: -3 |