Atkin-Lehner |
3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827a |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-22624605531 = -1 · 33 · 117 · 43 |
Discriminant |
Eigenvalues |
1 3+ -3 -5 11- 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,159,7156] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:26:1] [46:703:8] |
Generators of the group modulo torsion |
j |
9261/473 |
j-invariant |
L |
8.2086219773829 |
L(r)(E,1)/r! |
Ω |
0.91489756069769 |
Real period |
R |
1.1215220055788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827b1 4257d1 |
Quadratic twists by: -3 -11 |