Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
516b |
Isogeny class |
Conductor |
516 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-891648 = -1 · 28 · 34 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
1.6697886090872 |
L(r)(E,1)/r! |
Ω |
1.3986133272945 |
Real period |
R |
0.19898144546705 |
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 |
2064k1 8256n1 1548d1 12900i1 |
Quadratic twists by: -4 8 -3 5 |