Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1764b |
Isogeny class |
Conductor |
1764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
813189888 = 28 · 33 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735,-7546] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:6:1] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
2.9019616070319 |
L(r)(E,1)/r! |
Ω |
0.91794366225235 |
Real period |
R |
1.0537907449612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056bf2 28224i2 1764b4 44100e2 |
Quadratic twists by: -4 8 -3 5 |