Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bu |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1264896000000 = 214 · 34 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520608,144755712] |
[a1,a2,a3,a4,a6] |
Generators |
[192:7200:1] |
Generators of the group modulo torsion |
j |
243824355417817/19764 |
j-invariant |
L |
7.1684835266141 |
L(r)(E,1)/r! |
Ω |
0.65728013555969 |
Real period |
R |
1.3632854430118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150y3 2928o4 |
Quadratic twists by: -4 5 |