Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ef |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.6679062761961E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352322220,-2545395773744] |
[a1,a2,a3,a4,a6] |
j |
25309080274342544331625/191933498523648 |
j-invariant |
L |
2.5089802409637 |
L(r)(E,1)/r! |
Ω |
0.034846947722989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ce5 19152bl5 25536cw5 |
Quadratic twists by: -4 8 -3 |