Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13984h |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
2 |
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 |
[12:2:1] |
Generators of the group modulo torsion |
j |
17454600584/437 |
j-invariant |
L |
1.8200469843057 |
L(r)(E,1)/r! |
Ω |
2.9165948088456 |
Real period |
R |
0.31201574157401 |
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 |
13984f1 27968bd1 125856u1 |
Quadratic twists by: -4 8 -3 |