Atkin-Lehner |
3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10143c |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-43862527012342563 = -1 · 39 · 713 · 23 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 1 0 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-168021,28359497] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/18941489 |
j-invariant |
L |
2.8232993983162 |
L(r)(E,1)/r! |
Ω |
0.35291242478952 |
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 |
10143e1 1449a1 |
Quadratic twists by: -3 -7 |