Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ds |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-166043210256 = -1 · 24 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1314,6628] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:38:1] [23:-232:1] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
7.6434874897109 |
L(r)(E,1)/r! |
Ω |
0.63954978842353 |
Real period |
R |
1.4939195563771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bl1 2178f1 106722hl1 |
Quadratic twists by: -3 -7 -11 |