Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bh |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-963900000000 = -1 · 28 · 34 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2380,14532] |
[a1,a2,a3,a4,a6] |
j |
5821462825904/3765234375 |
j-invariant |
L |
2.1996134535349 |
L(r)(E,1)/r! |
Ω |
0.54990336338373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560bu1 114240cy1 42840e1 71400bp1 |
Quadratic twists by: -4 8 -3 5 |