Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93654i |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-2002697136 = -1 · 24 · 37 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11+ -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,2052] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:26:1] [3:-51:1] |
Generators of the group modulo torsion |
j |
226981/2064 |
j-invariant |
L |
8.311672578065 |
L(r)(E,1)/r! |
Ω |
1.0801008130249 |
Real period |
R |
0.4809546756005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31218o1 93654bg1 |
Quadratic twists by: -3 -11 |