Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bv |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9408155232000 = -1 · 28 · 3 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1076,147840] |
[a1,a2,a3,a4,a6] |
j |
-538671647824/36750606375 |
j-invariant |
L |
1.2028917065106 |
L(r)(E,1)/r! |
Ω |
0.6014458532553 |
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 |
28560o1 114240by1 42840v1 71400i1 |
Quadratic twists by: -4 8 -3 5 |