Atkin-Lehner |
3- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325z |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
266991906162375 = 316 · 53 · 292 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21393,910602] |
[a1,a2,a3,a4,a6] |
Generators |
[-1242:6255:8] [-99:1485:1] |
Generators of the group modulo torsion |
j |
8662236591230117/2135935249299 |
j-invariant |
L |
7.7504815939721 |
L(r)(E,1)/r! |
Ω |
0.51718601315702 |
Real period |
R |
0.93661678238387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325l2 |
Quadratic twists by: 5 |