Atkin-Lehner |
3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10143k |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-1.9297337940943E+19 |
Discriminant |
Eigenvalues |
0 3- 0 7- 2 3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,144060,210301789] |
[a1,a2,a3,a4,a6] |
Generators |
[421:18589:1] |
Generators of the group modulo torsion |
j |
1605632000/93710763 |
j-invariant |
L |
3.7806354707872 |
L(r)(E,1)/r! |
Ω |
0.16519081425177 |
Real period |
R |
2.8608093978405 |
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 |
3381d1 10143g1 |
Quadratic twists by: -3 -7 |