Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10647c |
Isogeny class |
Conductor |
10647 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2651623254720531 = -1 · 36 · 73 · 139 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 0 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,19266,-2253573] |
[a1,a2,a3,a4,a6] |
j |
224755712/753571 |
j-invariant |
L |
0.92900401996333 |
L(r)(E,1)/r! |
Ω |
0.23225100499083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1183a2 74529v2 819e2 |
Quadratic twists by: -3 -7 13 |