Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6321b |
Isogeny class |
Conductor |
6321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2230977987 = -1 · 32 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -3 -1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,327,-106] |
[a1,a2,a3,a4,a6] |
Generators |
[12:73:1] |
Generators of the group modulo torsion |
j |
32768000/18963 |
j-invariant |
L |
2.5632294770898 |
L(r)(E,1)/r! |
Ω |
0.87239066160439 |
Real period |
R |
0.73454175689361 |
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 |
101136ch1 18963j1 903a1 |
Quadratic twists by: -4 -3 -7 |