Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bv |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-413929046016000 = -1 · 222 · 37 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10092,-1053776] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3420:1] |
Generators of the group modulo torsion |
j |
-594823321/2166000 |
j-invariant |
L |
6.0883418901784 |
L(r)(E,1)/r! |
Ω |
0.21827001928398 |
Real period |
R |
1.1622343412932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ex1 1710p1 18240bc1 |
Quadratic twists by: -4 8 -3 |