Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43992k |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1387483748352 = -1 · 211 · 38 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -2 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14043,643030] |
[a1,a2,a3,a4,a6] |
j |
-205137906482/929331 |
j-invariant |
L |
5.15322227995 |
L(r)(E,1)/r! |
Ω |
0.85887038000427 |
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 |
87984l1 14664d1 |
Quadratic twists by: -4 -3 |