Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744o |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-22843453578674176 = -1 · 243 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- -3 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46516,6161776] |
[a1,a2,a3,a4,a6] |
Generators |
[2574:131072:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
3.1422457939161 |
L(r)(E,1)/r! |
Ω |
0.26320281344433 |
Real period |
R |
1.4923120277459 |
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 |
23744y1 742c1 |
Quadratic twists by: -4 8 |