Atkin-Lehner |
2- 3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
32706h |
Isogeny class |
Conductor |
32706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
487450224 = 24 · 36 · 232 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 4 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1982,-33443] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:13:1] |
Generators of the group modulo torsion |
j |
1180597050009/668656 |
j-invariant |
L |
9.2321063251655 |
L(r)(E,1)/r! |
Ω |
0.71557560395424 |
Real period |
R |
1.6127063084161 |
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 |
3634b1 |
Quadratic twists by: -3 |