Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040cm |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
137998080 = 28 · 34 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,-1428] |
[a1,a2,a3,a4,a6] |
Generators |
[394:2565:8] |
Generators of the group modulo torsion |
j |
5726576/405 |
j-invariant |
L |
5.1934060904247 |
L(r)(E,1)/r! |
Ω |
1.1938465880037 |
Real period |
R |
4.3501452721066 |
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 |
7260q2 116160hm2 87120du2 29040ck2 |
Quadratic twists by: -4 8 -3 -11 |