Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ee |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14296891392 = 214 · 38 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,-1567312] |
[a1,a2,a3,a4,a6] |
j |
153531250000/1197 |
j-invariant |
L |
3.0224192207711 |
L(r)(E,1)/r! |
Ω |
0.37780240023156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cd2 19152n2 25536bw2 |
Quadratic twists by: -4 8 -3 |