Atkin-Lehner |
2- 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10578j |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9280 |
Modular degree for the optimal curve |
Δ |
-13456400736 = -1 · 25 · 3 · 41 · 434 |
Discriminant |
Eigenvalues |
2- 3- -3 2 2 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-717,9201] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:137:1] |
Generators of the group modulo torsion |
j |
-40767965189713/13456400736 |
j-invariant |
L |
7.2838403738218 |
L(r)(E,1)/r! |
Ω |
1.1874100288871 |
Real period |
R |
0.30671125376331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624n1 31734d1 |
Quadratic twists by: -4 -3 |