Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730bf |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-9130287600 = -1 · 24 · 38 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,472,-2469] |
[a1,a2,a3,a4,a6] |
Generators |
[11:57:1] |
Generators of the group modulo torsion |
j |
15983964359/12524400 |
j-invariant |
L |
8.3107135053394 |
L(r)(E,1)/r! |
Ω |
0.72284301994171 |
Real period |
R |
0.71857869516971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910e1 |
Quadratic twists by: -3 |