Atkin-Lehner |
3- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84111c |
Isogeny class |
Conductor |
84111 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
485760 |
Modular degree for the optimal curve |
Δ |
37354339979037 = 32 · 238 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 -5 -5 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115333,15063260] |
[a1,a2,a3,a4,a6] |
Generators |
[44:3152:1] |
Generators of the group modulo torsion |
j |
2166516625/477 |
j-invariant |
L |
2.7809001291851 |
L(r)(E,1)/r! |
Ω |
0.63203700490688 |
Real period |
R |
0.73331680032687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84111e1 |
Quadratic twists by: -23 |