Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4816f |
Isogeny class |
Conductor |
4816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-63458929408 = -1 · 28 · 78 · 43 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4445,113239] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-686:1] |
Generators of the group modulo torsion |
j |
-37948686032896/247886443 |
j-invariant |
L |
1.6723487737821 |
L(r)(E,1)/r! |
Ω |
1.110989279697 |
Real period |
R |
0.094079934227529 |
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 |
1204a1 19264u1 43344bs1 120400bg1 |
Quadratic twists by: -4 8 -3 5 |