Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504r |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.6370027684997E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3447976,-175982028] |
[a1,a2,a3,a4,a6] |
Generators |
[1987:120516:1] |
Generators of the group modulo torsion |
j |
1249482637192606/726816072411 |
j-invariant |
L |
6.6210321744245 |
L(r)(E,1)/r! |
Ω |
0.085207825528082 |
Real period |
R |
4.8565317612317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752d5 6864h6 |
Quadratic twists by: -4 -11 |