Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2886a |
Isogeny class |
Conductor |
2886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
94822416 = 24 · 32 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13714,-623900] |
[a1,a2,a3,a4,a6] |
j |
285276257074764073/94822416 |
j-invariant |
L |
1.7646736262301 |
L(r)(E,1)/r! |
Ω |
0.44116840655752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088u1 92352x1 8658c1 72150ck1 |
Quadratic twists by: -4 8 -3 5 |