Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710r |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7299200865600 = 26 · 33 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5633,99281] |
[a1,a2,a3,a4,a6] |
j |
731992986690867/270340772800 |
j-invariant |
L |
2.7215375100369 |
L(r)(E,1)/r! |
Ω |
0.68038437750922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680cp2 10710e4 53550a2 74970cf2 |
Quadratic twists by: -4 -3 5 -7 |