Atkin-Lehner |
2+ 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150z |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-854451281250000 = -1 · 24 · 34 · 59 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2950,1406500] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-1174:1] |
Generators of the group modulo torsion |
j |
-1454419637/437479056 |
j-invariant |
L |
4.2481492694061 |
L(r)(E,1)/r! |
Ω |
0.40697773933589 |
Real period |
R |
1.3047855131669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87150cy2 |
Quadratic twists by: 5 |