Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608en |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69540079730688 = 222 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344748,-77910320] |
[a1,a2,a3,a4,a6] |
j |
23711636464489/363888 |
j-invariant |
L |
3.1524230370973 |
L(r)(E,1)/r! |
Ω |
0.19702644246346 |
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 |
76608cj2 19152bo2 25536da2 |
Quadratic twists by: -4 8 -3 |