Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543g |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1189308969611E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294246,-172191965] |
[a1,a2,a3,a4,a6] |
Generators |
[876220114:35885285521:456533] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
8.7035982399973 |
L(r)(E,1)/r! |
Ω |
0.09355697682732 |
Real period |
R |
11.628740227286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20181d6 63a6 |
Quadratic twists by: -3 -31 |