Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bk |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
7.2170206586268E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256754136,-1582909506576] |
[a1,a2,a3,a4,a6] |
Generators |
[-1638477073444487811907690628166686450:-2367625607052990291742260416522108114:179307197787460920171720327246527] |
Generators of the group modulo torsion |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
4.2801490274957 |
L(r)(E,1)/r! |
Ω |
0.037716400737742 |
Real period |
R |
56.741217928738 |
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 |
4998m1 119952fy1 39984ct1 |
Quadratic twists by: -4 -3 -7 |