Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13984f |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
223744 = 29 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 2 3 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-432,-3604] |
[a1,a2,a3,a4,a6] |
Generators |
[-4235:92:343] |
Generators of the group modulo torsion |
j |
17454600584/437 |
j-invariant |
L |
4.6972610784494 |
L(r)(E,1)/r! |
Ω |
1.0469972156626 |
Real period |
R |
4.4864121968814 |
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 |
13984h1 27968cb1 125856g1 |
Quadratic twists by: -4 8 -3 |