Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bc |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
35971205760000 = 210 · 34 · 54 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-499800,136167552] |
[a1,a2,a3,a4,a6] |
j |
13483833457558312804/35128130625 |
j-invariant |
L |
2.2594044312608 |
L(r)(E,1)/r! |
Ω |
0.56485110781531 |
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 |
14280bz3 114240jl4 85680bh4 |
Quadratic twists by: -4 8 -3 |