Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4944f |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4454898808651776 = -1 · 224 · 35 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 6 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-325272,71583984] |
[a1,a2,a3,a4,a6] |
j |
-929191309825663513/1087621779456 |
j-invariant |
L |
0.86910977040058 |
L(r)(E,1)/r! |
Ω |
0.43455488520029 |
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 |
618d2 19776bd2 14832k2 123600cg2 |
Quadratic twists by: -4 8 -3 5 |