Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450cl |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
deg |
7004160 |
Modular degree for the optimal curve |
Δ |
-2.1969393404314E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 0 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2069463,2529357417] |
[a1,a2,a3,a4,a6] |
Generators |
[-1578:43989:1] |
Generators of the group modulo torsion |
j |
-62730203634956202409/140604117787607040 |
j-invariant |
L |
12.958699609705 |
L(r)(E,1)/r! |
Ω |
0.12976854898342 |
Real period |
R |
0.078015699090007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18690d1 |
Quadratic twists by: 5 |