Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920cy |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.9924527757656E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,622077,-10748505598] |
[a1,a2,a3,a4,a6] |
Generators |
[7538453:391680704:2197] |
Generators of the group modulo torsion |
j |
8915971454369279/16719623332762560 |
j-invariant |
L |
4.7002830638779 |
L(r)(E,1)/r! |
Ω |
0.052373618374511 |
Real period |
R |
11.218155357623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999220232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490r3 38640by3 |
Quadratic twists by: -4 -3 |