Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720er |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2977838235648000 = -1 · 218 · 314 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12948,-2563504] |
[a1,a2,a3,a4,a6] |
Generators |
[112:540:1] [202:2880:1] |
Generators of the group modulo torsion |
j |
1256216039/15582375 |
j-invariant |
L |
9.1437116469103 |
L(r)(E,1)/r! |
Ω |
0.22138605806874 |
Real period |
R |
3.4418426219944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cl1 13680bg1 18240bt1 |
Quadratic twists by: -4 8 -3 |