Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bt |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4249452269579010048 = 218 · 32 · 239 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37360801,-87909060673] |
[a1,a2,a3,a4,a6] |
Generators |
[27106899509028506909373935:-8475844931360907731792033964:276153262397051642875] |
Generators of the group modulo torsion |
j |
12214672127/9 |
j-invariant |
L |
10.177298619466 |
L(r)(E,1)/r! |
Ω |
0.06106544527512 |
Real period |
R |
41.665538300224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568cz2 1587b2 101568bv2 |
Quadratic twists by: -4 8 -23 |