Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882h |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
270417357830627064 = 23 · 36 · 1710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210542,-27595812] |
[a1,a2,a3,a4,a6] |
j |
511981129/134136 |
j-invariant |
L |
0.45442410744089 |
L(r)(E,1)/r! |
Ω |
0.22721205371778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bv1 39882bb1 |
Quadratic twists by: -3 17 |