Atkin-Lehner |
3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10143l |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-17253243 = -1 · 37 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 7- -5 4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-210,1188] |
[a1,a2,a3,a4,a6] |
Generators |
[14:31:1] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
3.3946623986242 |
L(r)(E,1)/r! |
Ω |
2.1941879410164 |
Real period |
R |
0.19338945032734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381m1 10143m1 |
Quadratic twists by: -3 -7 |