Atkin-Lehner |
3- 11+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89199c |
Isogeny class |
Conductor |
89199 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
-1.2233624668846E+20 |
Discriminant |
Eigenvalues |
1 3- 1 -3 11+ 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1158516,-230133879] |
[a1,a2,a3,a4,a6] |
j |
235885953997670098751/167813781465645909 |
j-invariant |
L |
1.6765474108287 |
L(r)(E,1)/r! |
Ω |
0.10478420370056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29733d1 |
Quadratic twists by: -3 |