Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989r |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
10565499454389 = 310 · 116 · 101 |
Discriminant |
Eigenvalues |
-2 3- 1 2 11- -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6897,155394] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:490:1] [-22:544:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
6.9727000608519 |
L(r)(E,1)/r! |
Ω |
0.67062391591162 |
Real period |
R |
2.5993332088951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663l1 909b1 |
Quadratic twists by: -3 -11 |