Atkin-Lehner |
2+ 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642g |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16312966503506176 = -1 · 28 · 76 · 172 · 374 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43144,5103680] |
[a1,a2,a3,a4,a6] |
j |
75488529485447/138657927424 |
j-invariant |
L |
1.0761677149025 |
L(r)(E,1)/r! |
Ω |
0.26904192971233 |
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 |
1258b2 |
Quadratic twists by: -7 |