Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616k |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9720204058165248 = -1 · 219 · 38 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35124,4010096] |
[a1,a2,a3,a4,a6] |
j |
25076571983/50863698 |
j-invariant |
L |
1.129798837952 |
L(r)(E,1)/r! |
Ω |
0.28244970948804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616bu3 738c4 7872g4 |
Quadratic twists by: -4 8 -3 |