Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616k |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1128271970304 = 222 · 38 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,-134800] |
[a1,a2,a3,a4,a6] |
j |
81182737/5904 |
j-invariant |
L |
1.129798837952 |
L(r)(E,1)/r! |
Ω |
0.56489941897608 |
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 |
23616bu1 738c1 7872g1 |
Quadratic twists by: -4 8 -3 |