Atkin-Lehner |
2+ 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560c |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.555437644244E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-311576,603872160] |
[a1,a2,a3,a4,a6] |
j |
-3266759344228409956/151898207445703125 |
j-invariant |
L |
1.8157844980778 |
L(r)(E,1)/r! |
Ω |
0.15131537375908 |
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 |
38280k2 |
Quadratic twists by: -4 |