Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124l |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2336030928 = 24 · 38 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,-35075] |
[a1,a2,a3,a4,a6] |
Generators |
[8440040:-90304749:64000] |
Generators of the group modulo torsion |
j |
79082438656/200277 |
j-invariant |
L |
8.0694805042823 |
L(r)(E,1)/r! |
Ω |
0.71153892669154 |
Real period |
R |
11.340884105673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708g1 |
Quadratic twists by: -3 |