Atkin-Lehner |
3- 13+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
73593b |
Isogeny class |
Conductor |
73593 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
380725216677 = 36 · 132 · 174 · 37 |
Discriminant |
Eigenvalues |
-2 3- 0 1 -5 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59745,-5620752] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:8:1] [369:4751:1] |
Generators of the group modulo torsion |
j |
32351981100544000/522256813 |
j-invariant |
L |
5.6639030869957 |
L(r)(E,1)/r! |
Ω |
0.30536874481241 |
Real period |
R |
2.3184687297085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8177a1 |
Quadratic twists by: -3 |