Atkin-Lehner |
3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489j |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2071769627043 = -1 · 34 · 296 · 43 |
Discriminant |
Eigenvalues |
0 3- -2 -2 5 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16259,795578] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1261:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
6.0856624571703 |
L(r)(E,1)/r! |
Ω |
0.83057895670777 |
Real period |
R |
0.91587657300905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129a1 |
Quadratic twists by: 29 |