Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528bc |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
750145536 = 212 · 34 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229,-301] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:33:1] |
Generators of the group modulo torsion |
j |
325660672/183141 |
j-invariant |
L |
11.051738841101 |
L(r)(E,1)/r! |
Ω |
1.3200915027719 |
Real period |
R |
2.0929872668553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783a1 |
Quadratic twists by: -4 |