Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
201637900800000000 = 215 · 38 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2174700,-1234186000] |
[a1,a2,a3,a4,a6] |
Generators |
[7240:602100:1] |
Generators of the group modulo torsion |
j |
3047363673992/540225 |
j-invariant |
L |
5.5670793373829 |
L(r)(E,1)/r! |
Ω |
0.12432381716504 |
Real period |
R |
5.5973580068041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800mu4 50400cx4 33600ec4 20160dz3 |
Quadratic twists by: -4 8 -3 5 |