Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1085c |
Isogeny class |
Conductor |
1085 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
33635 = 5 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186,961] |
[a1,a2,a3,a4,a6] |
Generators |
[0:31:1] |
Generators of the group modulo torsion |
j |
711882749089/33635 |
j-invariant |
L |
1.1297807113576 |
L(r)(E,1)/r! |
Ω |
3.4704797601296 |
Real period |
R |
0.65108042083232 |
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 |
17360r2 69440bz2 9765n2 5425b2 |
Quadratic twists by: -4 8 -3 5 |