Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400bh |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62554080000000 = 211 · 3 · 57 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19008,-940512] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:8547:8] |
Generators of the group modulo torsion |
j |
23735908082/1954815 |
j-invariant |
L |
5.65933599366 |
L(r)(E,1)/r! |
Ω |
0.40872492708793 |
Real period |
R |
6.9231598302327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800h3 91200y3 34200q3 2280a3 |
Quadratic twists by: -4 8 -3 5 |