Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926p |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1083264 = -1 · 27 · 3 · 7 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 1 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14,52] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
270840023/1083264 |
j-invariant |
L |
3.9271589951663 |
L(r)(E,1)/r! |
Ω |
1.9672347831876 |
Real period |
R |
1.9962838339016 |
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 |
50778bx1 118482bm1 |
Quadratic twists by: -3 -7 |