Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704o |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8072024064 = -1 · 212 · 3 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,4225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:65:1] |
Generators of the group modulo torsion |
j |
78402752/1970709 |
j-invariant |
L |
5.2226397583331 |
L(r)(E,1)/r! |
Ω |
0.98487997875444 |
Real period |
R |
1.3257046216276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28704k2 57408bb1 86112o2 |
Quadratic twists by: -4 8 -3 |