Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cu |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.9280253869277E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1008440,-1297741328] |
[a1,a2,a3,a4,a6] |
j |
27689398696638536759/193555307298039120 |
j-invariant |
L |
1.2689552777988 |
L(r)(E,1)/r! |
Ω |
0.079309704862483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570p4 114240ii3 85680dk3 |
Quadratic twists by: -4 8 -3 |