Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568q |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10166754307534848 = -1 · 212 · 36 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45847,-3027369] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1944:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
7.8435451441953 |
L(r)(E,1)/r! |
Ω |
0.22228857118972 |
Real period |
R |
2.9404514963559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568d2 50784d1 4416j2 |
Quadratic twists by: -4 8 -23 |