Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bc |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
25991672225166 = 2 · 34 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-171239,-27287260] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:139:1] |
Generators of the group modulo torsion |
j |
79604339689/3726 |
j-invariant |
L |
2.7397520798294 |
L(r)(E,1)/r! |
Ω |
0.23469314645601 |
Real period |
R |
2.9184406545311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646cy1 39882i1 |
Quadratic twists by: -3 17 |