Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dj |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7.9155298961518E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164511489,-812205181089] |
[a1,a2,a3,a4,a6] |
Generators |
[136634082:33282940419:2197] |
Generators of the group modulo torsion |
j |
46546832455691959/748268928 |
j-invariant |
L |
6.5683842702215 |
L(r)(E,1)/r! |
Ω |
0.042155176797214 |
Real period |
R |
12.984534759598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999530729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488go2 3234q2 103488w2 |
Quadratic twists by: -4 8 -7 |