Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264l |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1513726672896 = -1 · 218 · 36 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,-48080] |
[a1,a2,a3,a4,a6] |
Generators |
[38:288:1] [276:4640:1] |
Generators of the group modulo torsion |
j |
4657463/7921 |
j-invariant |
L |
8.910292302634 |
L(r)(E,1)/r! |
Ω |
0.44598960706082 |
Real period |
R |
4.994674854283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51264bb2 801b2 5696g2 |
Quadratic twists by: -4 8 -3 |