Atkin-Lehner |
2+ 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
16974a |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-759248954170326 = -1 · 2 · 39 · 234 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 -4 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21129,-1770949] |
[a1,a2,a3,a4,a6] |
Generators |
[1141:37621:1] |
Generators of the group modulo torsion |
j |
-53000603012547/38573843122 |
j-invariant |
L |
2.9510846783407 |
L(r)(E,1)/r! |
Ω |
0.19187736633033 |
Real period |
R |
0.64083567514599 |
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 |
16974i1 |
Quadratic twists by: -3 |