Atkin-Lehner |
2+ 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134m |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
1.2778105997638E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43055391,-108743472974] |
[a1,a2,a3,a4,a6] |
Generators |
[161913726281:-92848841862996:493039] |
Generators of the group modulo torsion |
j |
8826861460396474287522843625/12778105997638179072 |
j-invariant |
L |
4.5363350738172 |
L(r)(E,1)/r! |
Ω |
0.058937635591873 |
Real period |
R |
19.242098144342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402bg1 |
Quadratic twists by: -3 |