Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bg |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1538012306250000 = 24 · 36 · 58 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2614501,-1627380352] |
[a1,a2,a3,a4,a6] |
Generators |
[4108:236612:1] |
Generators of the group modulo torsion |
j |
126493987789927840321/98432787600 |
j-invariant |
L |
6.6508625676123 |
L(r)(E,1)/r! |
Ω |
0.11872779215087 |
Real period |
R |
4.6681449820752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002509 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430ba2 |
Quadratic twists by: 5 |