Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bf |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.442293913881E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2136289,-1645143169] |
[a1,a2,a3,a4,a6] |
Generators |
[14362:140595:8] |
Generators of the group modulo torsion |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
5.549404996763 |
L(r)(E,1)/r! |
Ω |
0.060981787928013 |
Real period |
R |
7.5834184616368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784bv4 1848b4 44352co3 103488x3 |
Quadratic twists by: -4 8 -3 -7 |