Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232cp |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-21730845920256 = -1 · 210 · 32 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,-237411] |
[a1,a2,a3,a4,a6] |
j |
-2048/9 |
j-invariant |
L |
2.247672293204 |
L(r)(E,1)/r! |
Ω |
0.2809590366505 |
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 |
23232bk1 5808h1 69696fd1 23232cq1 |
Quadratic twists by: -4 8 -3 -11 |