Atkin-Lehner |
2- 3- 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bq |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
261632 |
Modular degree for the optimal curve |
Δ |
-509781590604 = -1 · 22 · 313 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9266,-342691] |
[a1,a2,a3,a4,a6] |
j |
-120678285194713/699288876 |
j-invariant |
L |
3.8915234219795 |
L(r)(E,1)/r! |
Ω |
0.24322023427069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894k1 |
Quadratic twists by: -3 |