Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1764f |
Isogeny class |
Conductor |
1764 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
112042115958528 = 28 · 312 · 77 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,-172186] |
[a1,a2,a3,a4,a6] |
j |
9826000/5103 |
j-invariant |
L |
1.9118655140397 |
L(r)(E,1)/r! |
Ω |
0.47796637850992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056br2 28224bo2 588b2 44100cn2 |
Quadratic twists by: -4 8 -3 5 |