Atkin-Lehner |
3- 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205l |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-19487441162109375 = -1 · 34 · 512 · 73 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26345,6912912] |
[a1,a2,a3,a4,a6] |
j |
-2022177859966590481/19487441162109375 |
j-invariant |
L |
1.9746752640865 |
L(r)(E,1)/r! |
Ω |
0.32911254401443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69615e1 116025m1 |
Quadratic twists by: -3 5 |