Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735m |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
1404084375 = 35 · 55 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 -5 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-490,3725] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-40:1] [-20:85:1] |
Generators of the group modulo torsion |
j |
7037694889/759375 |
j-invariant |
L |
6.0561582731933 |
L(r)(E,1)/r! |
Ω |
1.4714241088812 |
Real period |
R |
0.16463392808747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83205n1 27735a1 |
Quadratic twists by: -3 -43 |