Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cv |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
1.0281198601496E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161717410,-791557422028] |
[a1,a2,a3,a4,a6] |
Generators |
[-7366:5258:1] |
Generators of the group modulo torsion |
j |
264020672568758737421881/5803468580250000 |
j-invariant |
L |
15.129774972027 |
L(r)(E,1)/r! |
Ω |
0.042336108267115 |
Real period |
R |
2.4817557882704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270l2 |
Quadratic twists by: -11 |