Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020co |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1.4890111678318E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1096032,-400738219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1994608:17141915:4096] |
Generators of the group modulo torsion |
j |
106110329552896/10850811125 |
j-invariant |
L |
8.1051186069149 |
L(r)(E,1)/r! |
Ω |
0.14852511057206 |
Real period |
R |
9.0951159442973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h1 13860o1 |
Quadratic twists by: -3 -7 |