Atkin-Lehner |
2+ 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632j |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18315834624 = 28 · 32 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42397764,106244090316] |
[a1,a2,a3,a4,a6] |
j |
32924001769678321147596112/71546229 |
j-invariant |
L |
1.5318712771329 |
L(r)(E,1)/r! |
Ω |
0.38296781951823 |
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 |
27816b2 |
Quadratic twists by: -4 |