Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bf |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11427840 |
Modular degree for the optimal curve |
Δ |
-2.2491126184596E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 7 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4865243,8315300693] |
[a1,a2,a3,a4,a6] |
Generators |
[764958:236098475:8] |
Generators of the group modulo torsion |
j |
-660776311/1166886 |
j-invariant |
L |
11.358338584811 |
L(r)(E,1)/r! |
Ω |
0.10769877103583 |
Real period |
R |
3.2957486644213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362q1 121086be1 |
Quadratic twists by: -3 -31 |