Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400ef |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2571912000000000 = -1 · 212 · 38 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,-2900000] |
[a1,a2,a3,a4,a6] |
j |
-314432/441 |
j-invariant |
L |
2.8755912966122 |
L(r)(E,1)/r! |
Ω |
0.17972445604421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cc2 100800hj1 16800bc2 50400cb2 |
Quadratic twists by: -4 8 -3 5 |