Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dh |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1339231320000000 = 29 · 314 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90075,-10255250] |
[a1,a2,a3,a4,a6] |
Generators |
[2726:141426:1] |
Generators of the group modulo torsion |
j |
13858588808/229635 |
j-invariant |
L |
5.1598902348513 |
L(r)(E,1)/r! |
Ω |
0.27585754104205 |
Real period |
R |
4.6762272796139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bm3 100800dz3 16800p3 10080u2 |
Quadratic twists by: -4 8 -3 5 |