Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727n |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-163427949 = -1 · 39 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 3- -1 3 4 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,668] |
[a1,a2,a3,a4,a6] |
Generators |
[9:22:1] |
Generators of the group modulo torsion |
j |
-130321/621 |
j-invariant |
L |
4.8816680124922 |
L(r)(E,1)/r! |
Ω |
1.577011878056 |
Real period |
R |
0.77387939821569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24909l1 74727g1 |
Quadratic twists by: -3 -19 |