Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744by |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47707140096 = 212 · 32 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25937,-1599135] |
[a1,a2,a3,a4,a6] |
Generators |
[257:2940:1] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
6.4667458557538 |
L(r)(E,1)/r! |
Ω |
0.37620006654553 |
Real period |
R |
2.148705712347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744bq4 103488ef1 1056i3 |
Quadratic twists by: -4 8 -7 |