Atkin-Lehner |
2- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11570g |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
139400 |
Modular degree for the optimal curve |
Δ |
-47574399606456320 = -1 · 217 · 5 · 13 · 895 |
Discriminant |
Eigenvalues |
2- 0 5- 5 0 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33993,10204559] |
[a1,a2,a3,a4,a6] |
j |
4344143595143659839/47574399606456320 |
j-invariant |
L |
4.4819081910622 |
L(r)(E,1)/r! |
Ω |
0.26364165829778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92560o1 104130r1 57850b1 |
Quadratic twists by: -4 -3 5 |