Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968j |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1493041269142467072 = 29 · 36 · 712 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285784,1428820] |
[a1,a2,a3,a4,a6] |
j |
42852953779784/24786408969 |
j-invariant |
L |
1.8199754490109 |
L(r)(E,1)/r! |
Ω |
0.22749693331138 |
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 |
79968y2 11424g2 |
Quadratic twists by: -4 -7 |