Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11844f |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-898826934313728 = -1 · 28 · 37 · 7 · 475 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264360,-52336748] |
[a1,a2,a3,a4,a6] |
Generators |
[629:5499:1] |
Generators of the group modulo torsion |
j |
-10948218293248000/4816245147 |
j-invariant |
L |
5.0053371225932 |
L(r)(E,1)/r! |
Ω |
0.10527110056917 |
Real period |
R |
2.3773557488858 |
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 |
47376ba1 3948d1 82908p1 |
Quadratic twists by: -4 -3 -7 |