Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3536i |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2600685568 = 212 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 0 4 2 -6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187483,-31245750] |
[a1,a2,a3,a4,a6] |
Generators |
[62595:83022:125] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
4.1971862338169 |
L(r)(E,1)/r! |
Ω |
0.22943468912739 |
Real period |
R |
9.1467995745981 |
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 |
221a2 14144bb2 31824ba2 88400bi2 |
Quadratic twists by: -4 8 -3 5 |