Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052k |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-2368957840128 = -1 · 28 · 37 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,43076] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:99:1] [16:-306:1] |
Generators of the group modulo torsion |
j |
991232/867 |
j-invariant |
L |
9.9614072929111 |
L(r)(E,1)/r! |
Ω |
0.53166898471437 |
Real period |
R |
0.26022371634733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684d1 74052t1 |
Quadratic twists by: -3 -11 |