Atkin-Lehner |
2+ 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16974d |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-6071531904 = -1 · 27 · 37 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -4 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46908,3922128] |
[a1,a2,a3,a4,a6] |
Generators |
[141:240:1] |
Generators of the group modulo torsion |
j |
-15658211002295233/8328576 |
j-invariant |
L |
4.7190452906877 |
L(r)(E,1)/r! |
Ω |
1.1025500760805 |
Real period |
R |
1.0700296959444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5658i1 |
Quadratic twists by: -3 |