Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280g |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-44971718400 = -1 · 28 · 310 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1580,26772] |
[a1,a2,a3,a4,a6] |
j |
-1705021456336/175670775 |
j-invariant |
L |
2.2171687510974 |
L(r)(E,1)/r! |
Ω |
1.1085843755487 |
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 |
28560bt1 114240ct1 42840bo1 71400ds1 |
Quadratic twists by: -4 8 -3 5 |