Atkin-Lehner |
2- 3- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39606p |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
612 |
Product of Tamagawa factors cp |
deg |
499392 |
Modular degree for the optimal curve |
Δ |
-2741806663335936 = -1 · 217 · 39 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-191212,32265104] |
[a1,a2,a3,a4,a6] |
Generators |
[224:716:1] [-328:7892:1] |
Generators of the group modulo torsion |
j |
-773159837762822231233/2741806663335936 |
j-invariant |
L |
12.237074622748 |
L(r)(E,1)/r! |
Ω |
0.45600593279632 |
Real period |
R |
0.043848596111893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818l1 |
Quadratic twists by: -3 |