Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32085c |
Isogeny class |
Conductor |
32085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
854646442790484375 = 38 · 56 · 234 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1392773,-630743578] |
[a1,a2,a3,a4,a6] |
Generators |
[-705:973:1] |
Generators of the group modulo torsion |
j |
409861295670053815561/1172354516859375 |
j-invariant |
L |
2.0286909689433 |
L(r)(E,1)/r! |
Ω |
0.1389965958557 |
Real period |
R |
1.8244070623224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695e2 |
Quadratic twists by: -3 |