Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dl |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
840507985800000000 = 29 · 36 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240075,-10212750] |
[a1,a2,a3,a4,a6] |
j |
262389836808/144120025 |
j-invariant |
L |
1.8447177863929 |
L(r)(E,1)/r! |
Ω |
0.2305897232641 |
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 |
50400cv3 100800mx3 5600d2 10080j3 |
Quadratic twists by: -4 8 -3 5 |