Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14355d |
Isogeny class |
Conductor |
14355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
350935592225625 = 38 · 54 · 112 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130140,-18015269] |
[a1,a2,a3,a4,a6] |
Generators |
[1986320:22444001:4096] |
Generators of the group modulo torsion |
j |
334372435208533441/481393130625 |
j-invariant |
L |
4.9213179837372 |
L(r)(E,1)/r! |
Ω |
0.25138204035727 |
Real period |
R |
9.7885234298022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4785a2 71775bf2 |
Quadratic twists by: -3 5 |