Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600d |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131469156000000 = 28 · 34 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16108,-555788] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:450:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
3.6124465017334 |
L(r)(E,1)/r! |
Ω |
0.43293791996717 |
Real period |
R |
2.0860072166827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200bx2 2184m2 |
Quadratic twists by: -4 5 |