Atkin-Lehner |
2- 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906bm |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1037845702053888 = 212 · 3 · 710 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52137,4307673] |
[a1,a2,a3,a4,a6] |
j |
133221434726017/8821542912 |
j-invariant |
L |
5.7993370283265 |
L(r)(E,1)/r! |
Ω |
0.48327809400397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558o1 |
Quadratic twists by: -7 |