Atkin-Lehner |
2- 3+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784h |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
8619264 = 28 · 33 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,6884] |
[a1,a2,a3,a4,a6] |
Generators |
[16:6:1] |
Generators of the group modulo torsion |
j |
5120216064/1247 |
j-invariant |
L |
4.5650824499052 |
L(r)(E,1)/r! |
Ω |
2.2625529576619 |
Real period |
R |
0.50441719368642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89784b1 |
Quadratic twists by: -3 |