Atkin-Lehner |
3- 11+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229c |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-8989114563 = -1 · 38 · 112 · 132 · 67 |
Discriminant |
Eigenvalues |
0 3- -2 -2 11+ 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-246,4797] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-59:1] [-15:71:1] |
Generators of the group modulo torsion |
j |
-2258403328/12330747 |
j-invariant |
L |
7.1639246438125 |
L(r)(E,1)/r! |
Ω |
1.1252805698712 |
Real period |
R |
0.79579315986223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743g1 |
Quadratic twists by: -3 |