Atkin-Lehner |
3+ 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16215b |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
997374515625 = 310 · 56 · 23 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5132,-135261] |
[a1,a2,a3,a4,a6] |
j |
14952571051943881/997374515625 |
j-invariant |
L |
1.6992397943326 |
L(r)(E,1)/r! |
Ω |
0.56641326477752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48645c2 81075p2 |
Quadratic twists by: -3 5 |