Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48504l |
Isogeny class |
Conductor |
48504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-17726853888 = -1 · 28 · 36 · 43 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14633,676491] |
[a1,a2,a3,a4,a6] |
Generators |
[49:282:1] |
Generators of the group modulo torsion |
j |
-1353672304000000/69245523 |
j-invariant |
L |
7.9281394613169 |
L(r)(E,1)/r! |
Ω |
1.1598279387057 |
Real period |
R |
0.28481737091944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008a1 |
Quadratic twists by: -4 |