Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075r |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2440135546875 = 33 · 58 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90251,-10442977] |
[a1,a2,a3,a4,a6] |
Generators |
[-11148:5971:64] |
Generators of the group modulo torsion |
j |
5202988149947041/156168675 |
j-invariant |
L |
8.8438253158778 |
L(r)(E,1)/r! |
Ω |
0.27544691179726 |
Real period |
R |
5.351197718508 |
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 |
108225r2 7215d2 |
Quadratic twists by: -3 5 |