Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bp |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7682424829101562500 = 22 · 310 · 514 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1929605,-1022556103] |
[a1,a2,a3,a4,a6] |
Generators |
[3057136935:1080770426354:24389] |
Generators of the group modulo torsion |
j |
69755939801192449/674451562500 |
j-invariant |
L |
8.1700696327351 |
L(r)(E,1)/r! |
Ω |
0.12816987751286 |
Real period |
R |
15.936017477888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10950k2 6570n2 |
Quadratic twists by: -3 5 |