Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888z |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2040192 |
Modular degree for the optimal curve |
Δ |
-1.6917166959825E+22 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1155728,6239118784] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:114688:1] |
Generators of the group modulo torsion |
j |
41680247940186217487/4130167714800992256 |
j-invariant |
L |
4.300473623017 |
L(r)(E,1)/r! |
Ω |
0.09457644182192 |
Real period |
R |
1.0334289914478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486o1 111552dt1 83664ck1 |
Quadratic twists by: -4 8 -3 |