Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bk |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
624500100000000 = 28 · 32 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2082500,1157406852] |
[a1,a2,a3,a4,a6] |
j |
3901566248250599880016/2439453515625 |
j-invariant |
L |
1.6955991332071 |
L(r)(E,1)/r! |
Ω |
0.42389978330178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
28560ca2 114240dh2 42840m2 71400bt2 |
Quadratic twists by: -4 8 -3 5 |