Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050u |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
60062500 = 22 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:71:8] |
Generators of the group modulo torsion |
j |
10633/4 |
j-invariant |
L |
11.100851546962 |
L(r)(E,1)/r! |
Ω |
1.5110472221824 |
Real period |
R |
3.6732311816619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922b1 48050p1 |
Quadratic twists by: 5 -31 |