Atkin-Lehner |
2+ 3- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606g |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-25465786668 = -1 · 22 · 39 · 73 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,734,560] |
[a1,a2,a3,a4,a6] |
Generators |
[1:35:1] |
Generators of the group modulo torsion |
j |
43818969206375/25465786668 |
j-invariant |
L |
5.4896042329478 |
L(r)(E,1)/r! |
Ω |
0.71820046525988 |
Real period |
R |
1.2739257116652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118818bn1 |
Quadratic twists by: -3 |