Atkin-Lehner |
2+ 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296b |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
337270927702016 = 211 · 710 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19272,-535340] |
[a1,a2,a3,a4,a6] |
j |
386541969915026/164683070167 |
j-invariant |
L |
1.6841036538859 |
L(r)(E,1)/r! |
Ω |
0.42102591249006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32648d2 |
Quadratic twists by: -4 |