Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504x |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-531939773097038592 = -1 · 28 · 35 · 116 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68204,34436972] |
[a1,a2,a3,a4,a6] |
j |
77366117936/1172914587 |
j-invariant |
L |
6.5201292908053 |
L(r)(E,1)/r! |
Ω |
0.21733764468799 |
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 |
37752h2 624e2 |
Quadratic twists by: -4 -11 |