Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075a |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-73705892441865075 = -1 · 33 · 52 · 715 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,27937,-12947062] |
[a1,a2,a3,a4,a6] |
Generators |
[127336036:3036414290:226981] |
Generators of the group modulo torsion |
j |
96451161348669440/2948235697674603 |
j-invariant |
L |
2.4643300868658 |
L(r)(E,1)/r! |
Ω |
0.16647983877817 |
Real period |
R |
14.802573722752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36225bh2 12075x2 84525br2 |
Quadratic twists by: -3 5 -7 |