Atkin-Lehner |
2+ 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998i |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
59711271421850928 = 24 · 33 · 1110 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301051,-62506666] |
[a1,a2,a3,a4,a6] |
j |
1703278834890625/33705456048 |
j-invariant |
L |
2.4487428585666 |
L(r)(E,1)/r! |
Ω |
0.2040619049126 |
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 |
4818c2 |
Quadratic twists by: -11 |