Atkin-Lehner |
3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443o |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28600 |
Modular degree for the optimal curve |
Δ |
-855663963 = -1 · 3 · 7 · 116 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11- -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,202,-808] |
[a1,a2,a3,a4,a6] |
j |
512000/483 |
j-invariant |
L |
0.86477477147808 |
L(r)(E,1)/r! |
Ω |
0.86477477601768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
483b1 |
Quadratic twists by: -11 |