Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570q |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-637382681406250000 = -1 · 24 · 510 · 132 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- 4 2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-219935,-55258775] |
[a1,a2,a3,a4,a6] |
Generators |
[840:18365:1] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
8.14742805353 |
L(r)(E,1)/r! |
Ω |
0.10750967018342 |
Real period |
R |
0.94729014139265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130c2 |
Quadratic twists by: 17 |