Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bv |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
2.6729706143062E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55071312,157124288448] |
[a1,a2,a3,a4,a6] |
Generators |
[307665066:1025953866:68921] |
Generators of the group modulo torsion |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
5.3345312258804 |
L(r)(E,1)/r! |
Ω |
0.11859955171537 |
Real period |
R |
11.244838510607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998bm1 119952gs1 5712t1 |
Quadratic twists by: -4 -3 -7 |