Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575j |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-562773990955078125 = -1 · 310 · 59 · 474 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56808,-35729159] |
[a1,a2,a3,a4,a6] |
Generators |
[22304:3319973:1] |
Generators of the group modulo torsion |
j |
1779919481159/49406770125 |
j-invariant |
L |
4.983887465664 |
L(r)(E,1)/r! |
Ω |
0.14076786457766 |
Real period |
R |
4.425626083603 |
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 |
3525b4 2115e4 |
Quadratic twists by: -3 5 |