Atkin-Lehner |
41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2173c |
Isogeny class |
Conductor |
2173 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
2173 = 41 · 53 |
Discriminant |
Eigenvalues |
0 1 0 4 -6 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:0:1] |
Generators of the group modulo torsion |
j |
4096000/2173 |
j-invariant |
L |
3.1663455508879 |
L(r)(E,1)/r! |
Ω |
3.7521862641651 |
Real period |
R |
0.84386683601712 |
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 |
34768g1 19557a1 54325b1 106477c1 |
Quadratic twists by: -4 -3 5 -7 |