Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410f |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.734574682979E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-327857599485,-72284043262771409] |
[a1,a2,a3,a4,a6] |
j |
-5346283049660228588482593044903178961/2379389139888895517972519531250 |
j-invariant |
L |
1.8548721624155 |
L(r)(E,1)/r! |
Ω |
0.0031545444512484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470n2 |
Quadratic twists by: -3 |