Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960l |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
24354432000 = 210 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77360,8307600] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1620:1] |
Generators of the group modulo torsion |
j |
50001007195949764/23783625 |
j-invariant |
L |
3.084071733021 |
L(r)(E,1)/r! |
Ω |
0.97801955644332 |
Real period |
R |
0.52556408725891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480l3 27840dl4 20880m3 34800bj4 |
Quadratic twists by: -4 8 -3 5 |