Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dh |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7378127656353792 = 215 · 32 · 132 · 236 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48673,48671] |
[a1,a2,a3,a4,a6] |
Generators |
[415:-7176:1] [-91:1932:1] |
Generators of the group modulo torsion |
j |
389176891901000/225162587169 |
j-invariant |
L |
10.814760447647 |
L(r)(E,1)/r! |
Ω |
0.35379809178005 |
Real period |
R |
1.2736502234511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bx2 28704g2 |
Quadratic twists by: -4 8 |