Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460a |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
481474000 = 24 · 53 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,-7803] |
[a1,a2,a3,a4,a6] |
j |
588791808/6125 |
j-invariant |
L |
0.91347575922957 |
L(r)(E,1)/r! |
Ω |
0.91347575931646 |
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 |
40460n1 |
Quadratic twists by: 17 |