Atkin-Lehner |
3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10143h |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-153396909948429 = -1 · 37 · 78 · 233 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 2 7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15885,978102] |
[a1,a2,a3,a4,a6] |
j |
-105484561/36501 |
j-invariant |
L |
2.1774375995055 |
L(r)(E,1)/r! |
Ω |
0.54435939987637 |
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 |
3381k1 10143n1 |
Quadratic twists by: -3 -7 |