Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ce |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-6860000000 = -1 · 28 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,1063] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
8192/5 |
j-invariant |
L |
6.2991122188184 |
L(r)(E,1)/r! |
Ω |
0.81901922785498 |
Real period |
R |
0.48069019662364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900i1 78400ht1 3920v1 19600cf1 |
Quadratic twists by: -4 8 5 -7 |