Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bo |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2182828953600 = 212 · 310 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3252,-6496] |
[a1,a2,a3,a4,a6] |
Generators |
[94:720:1] |
Generators of the group modulo torsion |
j |
1273760704/731025 |
j-invariant |
L |
7.259461884101 |
L(r)(E,1)/r! |
Ω |
0.68647968081669 |
Real period |
R |
2.6437278797241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999234 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720cd2 27360x1 18240b2 |
Quadratic twists by: -4 8 -3 |