Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ep |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-202813632 = -1 · 26 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -5 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,-1118] |
[a1,a2,a3,a4,a6] |
Generators |
[21:67:1] [29:135:1] |
Generators of the group modulo torsion |
j |
-12487168/4347 |
j-invariant |
L |
11.616539317724 |
L(r)(E,1)/r! |
Ω |
0.64592291018828 |
Real period |
R |
4.4961012894978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736fa1 46368bm1 30912by1 |
Quadratic twists by: -4 8 -3 |