Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736bx |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-19379144324284416 = -1 · 223 · 315 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-354252,81431152] |
[a1,a2,a3,a4,a6] |
Generators |
[366:896:1] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
7.3650320676865 |
L(r)(E,1)/r! |
Ω |
0.38756849341853 |
Real period |
R |
2.3753969221901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736ej1 2898g1 30912bb1 |
Quadratic twists by: -4 8 -3 |