Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608db |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1752810651648 = 219 · 33 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702540,-226649456] |
[a1,a2,a3,a4,a6] |
Generators |
[-1633485:3349:3375] |
Generators of the group modulo torsion |
j |
5417927574172875/247646 |
j-invariant |
L |
5.3631945241779 |
L(r)(E,1)/r! |
Ω |
0.16490422840084 |
Real period |
R |
8.1307716860376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608h2 19152bd2 76608da4 |
Quadratic twists by: -4 8 -3 |