Atkin-Lehner |
2- 3+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606k |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-26439869985242112 = -1 · 210 · 38 · 73 · 234 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-456763,118885577] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3564:1] |
Generators of the group modulo torsion |
j |
-10538930043546431640625/26439869985242112 |
j-invariant |
L |
8.1315658366636 |
L(r)(E,1)/r! |
Ω |
0.37691186893439 |
Real period |
R |
0.71913945114484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818u1 |
Quadratic twists by: -3 |