Atkin-Lehner |
3- 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10857a |
Isogeny class |
Conductor |
10857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4754269443 = 3 · 72 · 114 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-666,-5771] |
[a1,a2,a3,a4,a6] |
j |
32599330233625/4754269443 |
j-invariant |
L |
1.8982293990228 |
L(r)(E,1)/r! |
Ω |
0.94911469951141 |
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 |
32571d2 75999b2 119427f2 |
Quadratic twists by: -3 -7 -11 |