Atkin-Lehner |
2+ 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862n |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-23397006730302 = -1 · 2 · 36 · 19 · 615 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 3 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-738135,244275763] |
[a1,a2,a3,a4,a6] |
j |
-61010405398305333361/32094659438 |
j-invariant |
L |
2.7693077448669 |
L(r)(E,1)/r! |
Ω |
0.55386154897339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2318e2 |
Quadratic twists by: -3 |