Atkin-Lehner |
3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10971a |
Isogeny class |
Conductor |
10971 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-875789554077 = -1 · 310 · 234 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1651,-37294] |
[a1,a2,a3,a4,a6] |
j |
683099533943/1201357413 |
j-invariant |
L |
0.93195711383523 |
L(r)(E,1)/r! |
Ω |
0.46597855691761 |
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 |
3657a4 |
Quadratic twists by: -3 |