Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449t |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
5.0438975225312E+19 |
Discriminant |
Eigenvalues |
1 3- 1 7+ -2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1404594,542362981] |
[a1,a2,a3,a4,a6] |
Generators |
[-1300:13691:1] [-684:34733:1] |
Generators of the group modulo torsion |
j |
7253758561/1193859 |
j-invariant |
L |
15.193939239447 |
L(r)(E,1)/r! |
Ω |
0.19136095478671 |
Real period |
R |
1.6541535404876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483b1 127449bg1 7497d1 |
Quadratic twists by: -3 -7 17 |