Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962m |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
-547346888885665792 = -1 · 217 · 7 · 1110 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-359009,89973173] |
[a1,a2,a3,a4,a6] |
Generators |
[587484810817051:-143223537736930337:9924513949] |
Generators of the group modulo torsion |
j |
-197294400193/21102592 |
j-invariant |
L |
7.4902857586548 |
L(r)(E,1)/r! |
Ω |
0.28441378123902 |
Real period |
R |
26.335874886315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962x1 |
Quadratic twists by: -11 |