Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264h |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
193757014130688 = 225 · 36 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-394284,-95290832] |
[a1,a2,a3,a4,a6] |
j |
35471840526793/1013888 |
j-invariant |
L |
3.0483722090278 |
L(r)(E,1)/r! |
Ω |
0.19052326308229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51264y2 1602c2 5696h2 |
Quadratic twists by: -4 8 -3 |