Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720es |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
336856320000000 = 214 · 36 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14999772,-22360169936] |
[a1,a2,a3,a4,a6] |
j |
31248575021659890256/28203125 |
j-invariant |
L |
1.0740053038702 |
L(r)(E,1)/r! |
Ω |
0.076714664537062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cm2 13680r2 6080n2 |
Quadratic twists by: -4 8 -3 |