Atkin-Lehner |
3- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35217a |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2575877031 = -1 · 37 · 72 · 13 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229,1986] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:33:1] [2:48:1] |
Generators of the group modulo torsion |
j |
1829276567/3533439 |
j-invariant |
L |
5.0028959445704 |
L(r)(E,1)/r! |
Ω |
0.99505219122123 |
Real period |
R |
1.2569431002483 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739a1 |
Quadratic twists by: -3 |