Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cm |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-148162474758144 = -1 · 212 · 3 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,-588225] |
[a1,a2,a3,a4,a6] |
Generators |
[1875:81180:1] |
Generators of the group modulo torsion |
j |
-3241792/307461 |
j-invariant |
L |
9.3297326259144 |
L(r)(E,1)/r! |
Ω |
0.25610949138443 |
Real period |
R |
4.5535859367622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744g2 103488bc1 7392j4 |
Quadratic twists by: -4 8 -7 |