Atkin-Lehner |
2+ 3+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770b |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2724959312400 = 24 · 3 · 52 · 134 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3842,44196] |
[a1,a2,a3,a4,a6] |
j |
6274402927278121/2724959312400 |
j-invariant |
L |
1.4558082949249 |
L(r)(E,1)/r! |
Ω |
0.72790414746247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bv1 83850cm1 |
Quadratic twists by: -3 5 |