Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072cs |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
15314994969408 = 26 · 37 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6757,-103543] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:27:1] |
Generators of the group modulo torsion |
j |
533174986473472/239296796397 |
j-invariant |
L |
9.4931265972211 |
L(r)(E,1)/r! |
Ω |
0.54912951618722 |
Real period |
R |
2.4696558866364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072m1 18768j1 |
Quadratic twists by: -4 8 |