Atkin-Lehner |
3- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265j |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1435430452055625 = -1 · 36 · 54 · 374 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 2 6 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19476,1487893] |
[a1,a2,a3,a4,a6] |
Generators |
[2446:46747:8] |
Generators of the group modulo torsion |
j |
1120683397845311/1969040400625 |
j-invariant |
L |
8.5064931053373 |
L(r)(E,1)/r! |
Ω |
0.32860313421721 |
Real period |
R |
3.2358536107685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7585a2 |
Quadratic twists by: -3 |