Atkin-Lehner |
3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24453k |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
1980693 = 36 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11- 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7140,-232218] |
[a1,a2,a3,a4,a6] |
Generators |
[-48790:-419:1000] |
Generators of the group modulo torsion |
j |
55219290112000/2717 |
j-invariant |
L |
4.09796366019 |
L(r)(E,1)/r! |
Ω |
0.51936777904119 |
Real period |
R |
3.945146219655 |
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 |
2717c1 |
Quadratic twists by: -3 |