Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cb |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3702600236654592 = 213 · 3 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1127624,-460502160] |
[a1,a2,a3,a4,a6] |
Generators |
[1660:47320:1] |
Generators of the group modulo torsion |
j |
8020417344913/187278 |
j-invariant |
L |
3.5244845684748 |
L(r)(E,1)/r! |
Ω |
0.14650722868772 |
Real period |
R |
1.503545507711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098k3 4368o3 |
Quadratic twists by: -4 13 |