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 |
Δ |
114476767587 = 38 · 74 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1706,22110] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:63:1] [-22:231:1] |
Generators of the group modulo torsion |
j |
752825955673/157032603 |
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 |
11739a2 |
Quadratic twists by: -3 |