Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400cc |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-955514880000 = -1 · 221 · 36 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72300,7482800] |
[a1,a2,a3,a4,a6] |
Generators |
[134:448:1] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
5.1611218130323 |
L(r)(E,1)/r! |
Ω |
0.81525825701635 |
Real period |
R |
1.5826646858876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400ew2 450b2 1600j2 14400bh4 |
Quadratic twists by: -4 8 -3 5 |