Atkin-Lehner |
2+ 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170j |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4032117481316400 = -1 · 24 · 320 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30960,2214256] |
[a1,a2,a3,a4,a6] |
j |
4501851336380159/5531025351600 |
j-invariant |
L |
2.3562403773527 |
L(r)(E,1)/r! |
Ω |
0.29453004716686 |
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 |
12390r2 |
Quadratic twists by: -3 |