Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170n |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0581889117967E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-981279,-620184947] |
[a1,a2,a3,a4,a6] |
j |
-143342160843040509169/145156229327390400 |
j-invariant |
L |
0.58301789195404 |
L(r)(E,1)/r! |
Ω |
0.072877236492398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390q2 |
Quadratic twists by: -3 |