Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43316b |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
326149381376 = 28 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -5 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,48020] |
[a1,a2,a3,a4,a6] |
j |
1548288/221 |
j-invariant |
L |
0.92597651275175 |
L(r)(E,1)/r! |
Ω |
0.92597651279026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316c1 |
Quadratic twists by: -7 |