Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600f |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5706126562500000000 = 28 · 32 · 514 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3318908,2325505812] |
[a1,a2,a3,a4,a6] |
j |
1010763367143985744/1426531640625 |
j-invariant |
L |
1.9185037995469 |
L(r)(E,1)/r! |
Ω |
0.23981297500776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200bm2 10920p2 |
Quadratic twists by: -4 5 |