Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828bb |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
33796752 = 24 · 3 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1418,20085] |
[a1,a2,a3,a4,a6] |
Generators |
[21:3:1] |
Generators of the group modulo torsion |
j |
37280608000/3993 |
j-invariant |
L |
10.096506054995 |
L(r)(E,1)/r! |
Ω |
1.9871728956665 |
Real period |
R |
1.6936130851694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69828u2 |
Quadratic twists by: -23 |