Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400dw |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1458000000000 = 210 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37200,-2761000] |
[a1,a2,a3,a4,a6] |
Generators |
[80570:414700:343] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
5.1128452210439 |
L(r)(E,1)/r! |
Ω |
0.34377199469064 |
Real period |
R |
7.4363899619644 |
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 |
14400bf3 3600bh3 1600r3 2880ba3 |
Quadratic twists by: -4 8 -3 5 |