Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fi |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1998743040000 = -1 · 212 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2013,58466] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-270:1] |
Generators of the group modulo torsion |
j |
302111711/669375 |
j-invariant |
L |
5.8771307760054 |
L(r)(E,1)/r! |
Ω |
0.57570816318665 |
Real period |
R |
0.63803276872215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355q1 28560cf1 |
Quadratic twists by: -4 -3 |