Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644o |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2176222464 = 28 · 37 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1005,11727] |
[a1,a2,a3,a4,a6] |
Generators |
[21:18:1] |
Generators of the group modulo torsion |
j |
2597330944/50301 |
j-invariant |
L |
9.4623129147008 |
L(r)(E,1)/r! |
Ω |
1.4641225436954 |
Real period |
R |
0.30775178704352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46644p1 |
Quadratic twists by: 13 |