Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bk |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-125241213123000 = -1 · 23 · 33 · 53 · 136 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11743,-226519] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3684:1] |
Generators of the group modulo torsion |
j |
6633333032010957/4638563449000 |
j-invariant |
L |
10.364218720903 |
L(r)(E,1)/r! |
Ω |
0.33151100937815 |
Real period |
R |
5.2105955396698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
36270e4 |
Quadratic twists by: -3 |