Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fh |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-173982732397600896 = -1 · 27 · 311 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3687872,2726907747] |
[a1,a2,a3,a4,a6] |
Generators |
[821:-16287:1] |
Generators of the group modulo torsion |
j |
-991656390179/31104 |
j-invariant |
L |
12.02169495206 |
L(r)(E,1)/r! |
Ω |
0.29957645928622 |
Real period |
R |
0.23886292036258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574a1 106722fx1 106722bi1 |
Quadratic twists by: -3 -7 -11 |