Atkin-Lehner |
3- 11+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28083d |
Isogeny class |
Conductor |
28083 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-346010643 = -1 · 33 · 11 · 23 · 373 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,-904] |
[a1,a2,a3,a4,a6] |
Generators |
[3290:66791:8] |
Generators of the group modulo torsion |
j |
-1404928000/346010643 |
j-invariant |
L |
5.0980084967746 |
L(r)(E,1)/r! |
Ω |
0.76218273331059 |
Real period |
R |
6.6886958651386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84249i1 |
Quadratic twists by: -3 |