Atkin-Lehner |
2- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cu |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
231170111620000 = 25 · 54 · 73 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26138,-1454908] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:322:1] |
Generators of the group modulo torsion |
j |
3159816002040625/369872178592 |
j-invariant |
L |
12.093921803868 |
L(r)(E,1)/r! |
Ω |
0.37834381240037 |
Real period |
R |
0.71034283709159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050j2 |
Quadratic twists by: 5 |