Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454j |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-9215464037588928 = -1 · 26 · 312 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-221832,40534528] |
[a1,a2,a3,a4,a6] |
Generators |
[23:5942:1] |
Generators of the group modulo torsion |
j |
-14076076848625/107448768 |
j-invariant |
L |
4.3415783960841 |
L(r)(E,1)/r! |
Ω |
0.4125520426491 |
Real period |
R |
1.3154638528165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818r1 5922i1 |
Quadratic twists by: -3 -7 |