Atkin-Lehner |
3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16275b |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2485795660400390625 = 32 · 514 · 72 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-371625,42849000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3039240:76894920:6859] |
Generators of the group modulo torsion |
j |
363262258500719761/159090922265625 |
j-invariant |
L |
4.4136491006811 |
L(r)(E,1)/r! |
Ω |
0.23174935673389 |
Real period |
R |
9.522462463076 |
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 |
48825t3 3255f3 113925ch3 |
Quadratic twists by: -3 5 -7 |