Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cp |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84672000 = 29 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,-950] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
474552/49 |
j-invariant |
L |
5.770173146906 |
L(r)(E,1)/r! |
Ω |
1.2861065302244 |
Real period |
R |
2.2432718485206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400q2 100800bv2 50400n2 50400p2 |
Quadratic twists by: -4 8 -3 5 |