Atkin-Lehner |
3- 5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585m |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
33770953125 = 32 · 56 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1155,-12348] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:63:1] |
Generators of the group modulo torsion |
j |
170409250131121/33770953125 |
j-invariant |
L |
4.9695503138131 |
L(r)(E,1)/r! |
Ω |
0.83027605141264 |
Real period |
R |
0.49878494280643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755e2 |
Quadratic twists by: -3 |