Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714l |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-2.717340674838E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,901629,-721631403] |
[a1,a2,a3,a4,a6] |
Generators |
[19924414302:-3147983706031:804357] |
Generators of the group modulo torsion |
j |
50611530622079699/169662750916608 |
j-invariant |
L |
5.0979883405101 |
L(r)(E,1)/r! |
Ω |
0.088798939468395 |
Real period |
R |
14.352616064475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238q1 51714ba1 |
Quadratic twists by: -3 13 |