Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584p |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-849045948781104 = -1 · 24 · 322 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -1 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21161,-756488] |
[a1,a2,a3,a4,a6] |
Generators |
[1243627:74933181:343] |
Generators of the group modulo torsion |
j |
65492529975339008/53065371798819 |
j-invariant |
L |
6.3487347017291 |
L(r)(E,1)/r! |
Ω |
0.27760612763921 |
Real period |
R |
5.7173942410056 |
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 |
81168bd1 121752h1 |
Quadratic twists by: -4 -3 |