Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150q |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1915278886125000000 = 26 · 32 · 59 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-491450,-114883500] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:4310:1] |
Generators of the group modulo torsion |
j |
6720987258797813/980622789696 |
j-invariant |
L |
4.3846432106831 |
L(r)(E,1)/r! |
Ω |
0.18207120086338 |
Real period |
R |
1.0034177082606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150cu2 |
Quadratic twists by: 5 |