Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400ef |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
241864704000000000 = 221 · 310 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76802700,-259067446000] |
[a1,a2,a3,a4,a6] |
Generators |
[14434:1280448:1] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
4.1462178431642 |
L(r)(E,1)/r! |
Ω |
0.050998268699354 |
Real period |
R |
5.081321813598 |
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 |
14400bo8 3600bk7 4800bp8 2880bb7 |
Quadratic twists by: -4 8 -3 5 |