Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899n |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
21073920 |
Modular degree for the optimal curve |
Δ |
-5.304553149838E+27 |
Discriminant |
Eigenvalues |
2 3- 1 1 5 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,154335363,-3425556814677] |
[a1,a2,a3,a4,a6] |
Generators |
[1874903217244798:-921163766630205037:7785938168] |
Generators of the group modulo torsion |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
12.64299088078 |
L(r)(E,1)/r! |
Ω |
0.021074628019425 |
Real period |
R |
21.425544886633 |
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 |
9633q1 2223b1 |
Quadratic twists by: -3 13 |