Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735j |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-4953894187425075 = -1 · 36 · 52 · 437 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 1 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33282616,73893987601] |
[a1,a2,a3,a4,a6] |
Generators |
[24106:249611:8] |
Generators of the group modulo torsion |
j |
-645008376471556096/783675 |
j-invariant |
L |
11.047941404888 |
L(r)(E,1)/r! |
Ω |
0.2744673610767 |
Real period |
R |
0.83858949578655 |
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 |
83205x1 645d1 |
Quadratic twists by: -3 -43 |