Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1953g |
Isogeny class |
Conductor |
1953 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-474579 = -1 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-771186,260667459] |
[a1,a2,a3,a4,a6] |
j |
-69578264895333695488/651 |
j-invariant |
L |
2.0107681293414 |
L(r)(E,1)/r! |
Ω |
1.0053840646707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31248bk3 124992dk3 651e3 48825w3 |
Quadratic twists by: -4 8 -3 5 |