Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048s |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-72048 = -1 · 24 · 3 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,-105] |
[a1,a2,a3,a4,a6] |
Generators |
[179268:9489441:64] |
Generators of the group modulo torsion |
j |
-389344000/4503 |
j-invariant |
L |
10.26919046574 |
L(r)(E,1)/r! |
Ω |
0.95868564005669 |
Real period |
R |
10.711739111036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012c1 |
Quadratic twists by: -4 |