Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bb |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.4110181902027E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,567247,-547484623] |
[a1,a2,a3,a4,a6] |
j |
27689398696638536759/193555307298039120 |
j-invariant |
L |
2.9305266849091 |
L(r)(E,1)/r! |
Ω |
0.091578958903409 |
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 |
85680dk3 3570p4 53550bb3 74970ds3 |
Quadratic twists by: -4 -3 5 -7 |