Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280y |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-6854400 = -1 · 28 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,128] |
[a1,a2,a3,a4,a6] |
j |
3286064/26775 |
j-invariant |
L |
3.4561612628446 |
L(r)(E,1)/r! |
Ω |
1.7280806314223 |
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 |
28560p1 114240w1 42840bx1 71400ci1 |
Quadratic twists by: -4 8 -3 5 |