Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16317f |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
3173346477 = 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2 3- -2 7- 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-441,2315] |
[a1,a2,a3,a4,a6] |
Generators |
[-2010:16075:216] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
9.0023868003254 |
L(r)(E,1)/r! |
Ω |
1.3064524605789 |
Real period |
R |
6.890711351515 |
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 |
1813b1 333d1 |
Quadratic twists by: -3 -7 |