Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bf |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
2800793214 = 2 · 36 · 174 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-440,2432] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:665:8] |
Generators of the group modulo torsion |
j |
112425913/33534 |
j-invariant |
L |
3.8076964666867 |
L(r)(E,1)/r! |
Ω |
1.3301222933144 |
Real period |
R |
1.4313332262108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119646dc1 39882l1 |
Quadratic twists by: -3 17 |