Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bz |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7715736000000000 = 212 · 39 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151500,-22300000] |
[a1,a2,a3,a4,a6] |
j |
65939264/1323 |
j-invariant |
L |
3.8765551585612 |
L(r)(E,1)/r! |
Ω |
0.24228469740784 |
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 |
50400ee2 100800ii1 16800bo2 50400ed2 |
Quadratic twists by: -4 8 -3 5 |