Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4704i |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-265531392 = -1 · 212 · 33 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-653,-6693] |
[a1,a2,a3,a4,a6] |
j |
-3136000/27 |
j-invariant |
L |
2.8314830713935 |
L(r)(E,1)/r! |
Ω |
0.47191384523226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4704b1 9408bn1 14112bq1 117600eg1 |
Quadratic twists by: -4 8 -3 5 |