Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762bi |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20164568004 = 22 · 34 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-834,-6336] |
[a1,a2,a3,a4,a6] |
j |
545338513/171396 |
j-invariant |
L |
3.6413451355724 |
L(r)(E,1)/r! |
Ω |
0.91033628389311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54096by2 20286bd2 138c2 |
Quadratic twists by: -4 -3 -7 |