Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200p |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9585216000 = 29 · 34 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4248,107892] |
[a1,a2,a3,a4,a6] |
Generators |
[36:18:1] |
Generators of the group modulo torsion |
j |
132495001192/149769 |
j-invariant |
L |
5.2673310192954 |
L(r)(E,1)/r! |
Ω |
1.2887396941072 |
Real period |
R |
1.0217988649235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200bi2 103200cu2 |
Quadratic twists by: -4 5 |