Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963p |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6435993267 = -1 · 38 · 114 · 67 |
Discriminant |
Eigenvalues |
2 3- 4 2 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,-4689] |
[a1,a2,a3,a4,a6] |
Generators |
[255909191710:1800707472617:4459534136] |
Generators of the group modulo torsion |
j |
-495616/603 |
j-invariant |
L |
18.773765954053 |
L(r)(E,1)/r! |
Ω |
0.5226622711833 |
Real period |
R |
17.959748569138 |
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 |
24321o1 72963s1 |
Quadratic twists by: -3 -11 |