Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bc |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-705611642400000000 = -1 · 211 · 32 · 58 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493680,139658400] |
[a1,a2,a3,a4,a6] |
j |
-6497274863743503842/344536934765625 |
j-invariant |
L |
2.2594044312608 |
L(r)(E,1)/r! |
Ω |
0.28242555390765 |
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 |
14280bz6 114240jl5 85680bh5 |
Quadratic twists by: -4 8 -3 |