Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2666c |
Isogeny class |
Conductor |
2666 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
20190961664 = 213 · 31 · 433 |
Discriminant |
Eigenvalues |
2- 0 1 0 -3 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3127,67727] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1310:1] |
Generators of the group modulo torsion |
j |
3380470452981441/20190961664 |
j-invariant |
L |
4.6655145680333 |
L(r)(E,1)/r! |
Ω |
1.2222150010134 |
Real period |
R |
0.097878506292538 |
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 |
21328j1 85312a1 23994g1 66650a1 |
Quadratic twists by: -4 8 -3 5 |