Atkin-Lehner |
3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6063a |
Isogeny class |
Conductor |
6063 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-1580678667 = -1 · 32 · 433 · 472 |
Discriminant |
Eigenvalues |
0 3+ 2 0 3 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,83,1863] |
[a1,a2,a3,a4,a6] |
Generators |
[13:70:1] |
Generators of the group modulo torsion |
j |
62476255232/1580678667 |
j-invariant |
L |
3.3648579141042 |
L(r)(E,1)/r! |
Ω |
1.1283658033165 |
Real period |
R |
0.74551575034758 |
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 |
97008ba1 18189c1 |
Quadratic twists by: -4 -3 |