Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800k |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5788125000000000000 = 212 · 33 · 516 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-449700,8636000] |
[a1,a2,a3,a4,a6] |
Generators |
[879560:265200:1331] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
7.1818079653421 |
L(r)(E,1)/r! |
Ω |
0.20457713223306 |
Real period |
R |
8.7764061038804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bf2 50400ci1 100800m2 20160l2 |
Quadratic twists by: -4 8 -3 5 |