Atkin-Lehner |
2+ 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906r |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
14318034583437312 = 214 · 3 · 78 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140117,19337504] |
[a1,a2,a3,a4,a6] |
j |
2585851062113593/121701285888 |
j-invariant |
L |
0.78207543795097 |
L(r)(E,1)/r! |
Ω |
0.39103763720773 |
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 |
12558e1 |
Quadratic twists by: -7 |