Atkin-Lehner |
2+ 3- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682q |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3512320 |
Modular degree for the optimal curve |
Δ |
-2259791092396670976 = -1 · 214 · 38 · 11 · 13 · 435 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 11+ 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37224,72263488] |
[a1,a2,a3,a4,a6] |
Generators |
[1136:39176:1] |
Generators of the group modulo torsion |
j |
7824538641389183/3099850606854144 |
j-invariant |
L |
5.1591209555748 |
L(r)(E,1)/r! |
Ω |
0.20155621932965 |
Real period |
R |
3.1995545676981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999572439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894x1 |
Quadratic twists by: -3 |