Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368bk |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
44999553275347968 = 210 · 33 · 117 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-778312,-264351232] |
[a1,a2,a3,a4,a6] |
Generators |
[2504:116160:1] |
Generators of the group modulo torsion |
j |
28742820444292/24805737 |
j-invariant |
L |
7.4087403793005 |
L(r)(E,1)/r! |
Ω |
0.1607435580748 |
Real period |
R |
3.8408695129461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736q4 4488e4 |
Quadratic twists by: -4 -11 |