Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700l |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
52020000000 = 28 · 32 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133,10137] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-50:1] [-13:150:1] |
Generators of the group modulo torsion |
j |
139264/45 |
j-invariant |
L |
8.5057611747511 |
L(r)(E,1)/r! |
Ω |
1.0373107408772 |
Real period |
R |
0.34165915924603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340r1 86700bt1 |
Quadratic twists by: 5 17 |