Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dg |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
612360000000 = 29 · 37 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252075,48712750] |
[a1,a2,a3,a4,a6] |
Generators |
[294:122:1] |
Generators of the group modulo torsion |
j |
303735479048/105 |
j-invariant |
L |
5.1748454451042 |
L(r)(E,1)/r! |
Ω |
0.73876112512877 |
Real period |
R |
3.5023807216345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400dx4 100800mf4 16800s2 10080s3 |
Quadratic twists by: -4 8 -3 5 |