Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072di |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1599588532224 = -1 · 219 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1569,64863] |
[a1,a2,a3,a4,a6] |
Generators |
[21:204:1] |
Generators of the group modulo torsion |
j |
-1630532233/6101946 |
j-invariant |
L |
10.396281732467 |
L(r)(E,1)/r! |
Ω |
0.73812863887657 |
Real period |
R |
0.78248041993033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072u1 18768t1 |
Quadratic twists by: -4 8 |