Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672o |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
125411572944 = 24 · 312 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44166,3572525] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:2673:1] [-71:2520:1] |
Generators of the group modulo torsion |
j |
816846411532288/10752021 |
j-invariant |
L |
7.0429925251153 |
L(r)(E,1)/r! |
Ω |
0.951098557542 |
Real period |
R |
1.2341855407214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344g1 7224a1 |
Quadratic twists by: -4 -3 |