Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206bq |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-27677070311184 = -1 · 24 · 311 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 6 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3758,269133] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-453:1] |
Generators of the group modulo torsion |
j |
-68417929/322704 |
j-invariant |
L |
9.3621092224397 |
L(r)(E,1)/r! |
Ω |
0.57838890569257 |
Real period |
R |
1.0116581085001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402a1 1494c1 |
Quadratic twists by: -3 -7 |