Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11952q |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-418224384 = -1 · 28 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,1082] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:36:1] |
Generators of the group modulo torsion |
j |
-810448/2241 |
j-invariant |
L |
5.0891300982777 |
L(r)(E,1)/r! |
Ω |
1.4806734477092 |
Real period |
R |
1.7185187274586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2988b1 47808cb1 3984e1 |
Quadratic twists by: -4 8 -3 |