Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cu |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6334965217257062400 = 220 · 310 · 52 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-841160,-270843408] |
[a1,a2,a3,a4,a6] |
j |
16069416876629693641/1546622367494400 |
j-invariant |
L |
1.2689552777988 |
L(r)(E,1)/r! |
Ω |
0.15861940972497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570p2 114240ii2 85680dk2 |
Quadratic twists by: -4 8 -3 |