Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cu |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
122577848712000 = 26 · 32 · 53 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19658,-919068] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:-326:1] |
Generators of the group modulo torsion |
j |
6720987258797813/980622789696 |
j-invariant |
L |
10.15845121376 |
L(r)(E,1)/r! |
Ω |
0.40712358187553 |
Real period |
R |
0.34655226685981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150q2 |
Quadratic twists by: 5 |