Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bz |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4782579804863E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1874892,796369520] |
[a1,a2,a3,a4,a6] |
Generators |
[110:24320:1] |
Generators of the group modulo torsion |
j |
3814038123905521/773540010432 |
j-invariant |
L |
3.6272290653825 |
L(r)(E,1)/r! |
Ω |
0.17343888065963 |
Real period |
R |
2.6141983373786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ff2 2394d2 25536k2 |
Quadratic twists by: -4 8 -3 |