Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bx |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1933811850081375 = -1 · 38 · 53 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,2141142] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1401:1] |
Generators of the group modulo torsion |
j |
-343/9 |
j-invariant |
L |
4.1543254878241 |
L(r)(E,1)/r! |
Ω |
0.39129006813901 |
Real period |
R |
5.3084985105579 |
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 |
9075h1 27225bu1 27225bv1 |
Quadratic twists by: -3 5 -11 |