Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984cs |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
2022667271443316736 = 220 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319104,11372724] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:7938:1] |
Generators of the group modulo torsion |
j |
152186997697/85660416 |
j-invariant |
L |
9.3723744874988 |
L(r)(E,1)/r! |
Ω |
0.22593092945164 |
Real period |
R |
0.76821040364192 |
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 |
4998y1 119952ee1 39984co1 |
Quadratic twists by: -4 -3 -7 |