Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216bf |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
285339400814592 = 214 · 310 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100904,12276660] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-912:1] [-98:4608:1] |
Generators of the group modulo torsion |
j |
27739154300781097/69662939652 |
j-invariant |
L |
9.0228167503571 |
L(r)(E,1)/r! |
Ω |
0.54973773252727 |
Real period |
R |
0.54709826258891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902a1 117648bw1 |
Quadratic twists by: -4 -3 |