Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600z |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-476656000000 = -1 · 210 · 56 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 6 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1767,-16337] |
[a1,a2,a3,a4,a6] |
j |
38112512/29791 |
j-invariant |
L |
1.5600550502155 |
L(r)(E,1)/r! |
Ω |
0.52001835001803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600bs2 3100e2 1984f2 |
Quadratic twists by: -4 8 5 |